<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-11-20</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001384905</issuerCik>
        <issuerName>RingCentral Inc</issuerName>
        <issuerTradingSymbol>RNG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001586647</rptOwnerCik>
            <rptOwnerName>Shmunis Vladimir</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>CEO &amp; Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001587526</rptOwnerCik>
            <rptOwnerName>Shmunis Sandra</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001587616</rptOwnerCik>
            <rptOwnerName>ELCA Fund I, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001587543</rptOwnerCik>
            <rptOwnerName>ELCA, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001587618</rptOwnerCik>
            <rptOwnerName>ELCA Fund II, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001587622</rptOwnerCik>
            <rptOwnerName>ELCA Fund III, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RINGCENTRAL, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>20 DAVIS DRIVE</rptOwnerStreet2>
            <rptOwnerCity>BELMONT</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94002</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-11-20</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
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                <footnoteId id="F1"/>
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            <transactionTimeliness>
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                <transactionPricePerShare>
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            <ownershipNature>
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        <nonDerivativeTransaction>
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                </transactionPricePerShare>
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                </sharesOwnedFollowingTransaction>
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                </sharesOwnedFollowingTransaction>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4678</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>6.78</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-11-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4167</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F16"/>
            </exerciseDate>
            <expirationDate>
                <value>2022-09-25</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>B Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4167</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>779168</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>lass B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-11-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4167</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>6.78</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4167</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4167</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>lass B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2018-11-23</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>C</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>4167</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>4167</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>5893107</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5893107</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By ELCA Fund I, L.P.</value>
                    <footnoteId id="F18"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7200</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7200</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By ELCA Fund II, L.P.</value>
                    <footnoteId id="F18"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7200</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>7200</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By ELCA Fund III, L.P.</value>
                    <footnoteId id="F18"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Common Stock</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F17"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F17"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F17"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>111</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>111</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By ELCA, LLC</value>
                    <footnoteId id="F18"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each Share of Class A Common Stock was issued upon conversion of one share of Class B Common Stock.</footnote>
        <footnote id="F2">The sales reported in this Form 4 were effected pursuant to a Rule 10b5-1 trading plan adopted by the Reporting Person on June 14, 2018.</footnote>
        <footnote id="F3">Reflects weighted average sale price. Actual sale prices ranged from $64.50 to $65.40 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F4">Reflects weighted average sale price. Actual sale prices ranged from $65.54 to $66.49 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F5">Reflects weighted average sale price. Actual sale prices ranged from $66.63 to $67.56 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F6">Reflects weighted average sale price. Actual sale prices ranged from $67.71 to $68.70 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F7">Reflects weighted average sale price. Actual sale prices ranged from $68.71 to $69.70 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F8">Reflects weighted average sale price. Actual sale prices ranged from $69.71 to $70.70 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F9">Reflects weighted average sale price. Actual sale prices ranged from $70.73 to $71.62 on November 20, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F10">Reflects weighted average sale price. Actual sale prices ranged from $68.67 to $69.40 on November 21, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F11">Reflects weighted average sale price. Actual sale prices ranged from $69.81 to $70.78 on November 21, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F12">Reflects weighted average sale price. Actual sale prices ranged from $70.81 to $71.80 on November 21, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F13">Reflects weighted average sale price. Actual sale prices ranged from $71.81 to $72.01 on November 21, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F14">Reflects weighted average sale price. Actual sale prices ranged from $70.36 to $71.05 on November 23, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F15">Reflects weighted average sale price. Actual sale prices ranged from $71.42 to $72.37 on November 23, 2018. The Reporting Person undertakes to provide upon request by the Commission staff, the issuer, or a security holder of the issuer, full information regarding the number of shares purchased or sold at each separate price.</footnote>
        <footnote id="F16">Options are fully vested and exercisable.</footnote>
        <footnote id="F17">Each share of Class B Common Stock is convertible at any time at the option of the holder into one share of Class A Common Stock and has no expiration date. In addition, each share of Class B Common Stock held by a shareholder will convert automatically into one share of Class A Common Stock upon (i) any transfer of such share (subject to certain exceptions), or (ii) the occurrence of certain other specific instances, including the vote of the holders of the Class B Common Stock, as set forth in the issuer's Amended and Restated Certificate of Incorporation.</footnote>
        <footnote id="F18">Vladimir Shmunis and Sandra Shmunis are the managing members of ELCA, LLC. ELCA, LLC is the general partner of ELCA Fund I, L.P., ELCA Fund II, L.P., and ELCA Fund III, L.P. By virtue of this relationship, Mr. Shmunis and Mrs. Shmunis may be deemed to share voting and dispositive power with respect to the shares held by ELCA Fund I, L.P., and certain of the shares held by ELCA Fund II, L.P. and ELCA Fund III, L.P. Each of the Reporting Persons disclaims beneficial ownership of these securities except to the extent of its pecuniary interest therein, and the inclusion of these securities in this report shall not be deemed an admission of beneficial ownership of the reported securities for purposes of Section 16 or for any other purposes.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Vladimir Shmunis</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Sandra Shmunis</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Sandra Shmunis, a Managing Member of ELCA, LLC, the General Partners of ELCA Fund I, L.P.</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Sandra Shmunis, a Managing Member of ELCA, LLC</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Sandra Shmunis, a Managing Member of ELCA, LLC, the General Partner of ELCA Fund II, L.P.</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Bruce P. Johnson, Attorney-in-fact for Sandra Shmunis, a Managing Member of ELCA, LLC, the General Partner of ELCA Fund III, L.P.</signatureName>
        <signatureDate>2018-11-23</signatureDate>
    </ownerSignature>
</ownershipDocument>
