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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-11-10</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001324772</issuerCik>
        <issuerName>Apigee Corp</issuerName>
        <issuerTradingSymbol>APIC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001546605</rptOwnerCik>
            <rptOwnerName>Wan Tim M</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O APIGEE CORPORATION</rptOwnerStreet1>
            <rptOwnerStreet2>10 S. ALMADEN BOULEVARD, 16TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>SAN JOSE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>95113</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-11-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>82167</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>7.41</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-11-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>52500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F5"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F4"/>
            </exerciseDate>
            <expirationDate>
                <value>2025-08-26</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>52500</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Employee Stock Option (right to buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>12.96</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-11-10</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>30000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F7"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F6"/>
            </exerciseDate>
            <expirationDate>
                <value>2016-06-21</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>30000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Includes 68,750 shares represented by restricted stock units, or RSUs, of which 23,750 RSUs were previously reported in Table II.</footnote>
        <footnote id="F2">Pursuant to the merger agreement between the Issuer and Google Inc. dated September 7, 2016 (the &quot;Merger Agreement&quot;), the RSUs will be assumed by Google and converted into Google restricted stock units in respect of that number of shares of Alphabet Class C Capital Stock equal to the product of (x) the number of shares of Issuer common stock underlying the RSUs multiplied by (y) 0.0225405.</footnote>
        <footnote id="F3">At the effective time of the merger, each share of Issuer common stock was cancelled in exchange for a cash payment of $17.40 per share.</footnote>
        <footnote id="F4">The option was granted on August 27, 2015 and provided for vesting of one-fourth of the shares underlying the option on November 17, 2016 and one-sixteenth of the shares vest quarterly thereafter.</footnote>
        <footnote id="F5">Pursuant to the Merger Agreement, the 52,500 unvested option shares shall be assumed by Google and converted into the right to receive an amount in cash equal to (x) the difference between $17.40 and the per share exercise price of the option multiplied by (y) the number of unvested option shares (the &quot;Unvested Option Consideration&quot;), with payment of such Unvested Option Consideration to be made in accordance with the vesting schedule applicable to the unvested option shares, subject to acceleration as provided in the April 8, 2015 confirmatory offer letter.</footnote>
        <footnote id="F6">The option was granted on June 21, 2016 and provided for vesting of one-fourth of the shares underlying the option on June 21, 2017 and one-sixteenth of the shares vest quarterly thereafter.</footnote>
        <footnote id="F7">Pursuant to the Merger Agreement, the 30,000 unvested option shares shall be assumed by Google and converted into the to receive an amount in cash equal to (x) the difference between $17.40 and the per share exercise price of the option multiplied by (y) the Unvested Option Consideration, with payment of such Unvested Option Consideration to be made in accordance with the vesting schedule applicable to the unvested option shares, subject to acceleration as provided in the April 8, 2015 confirmatory offer letter.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Stacey Giamalis, by power of attorney</signatureName>
        <signatureDate>2016-11-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
