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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2018-08-17</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001690769</issuerCik>
        <issuerName>Alta Mesa Resources, Inc. /DE</issuerName>
        <issuerTradingSymbol>AMR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001742941</rptOwnerCik>
            <rptOwnerName>BAYOU CITY ENERGY MANAGEMENT LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ALTA MESA RESOURCES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>15021 KATY FREEWAY, SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77094</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001730172</rptOwnerCik>
            <rptOwnerName>McMullen William Wallace</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O ALTA MESA RESOURCES, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>15021 KATY FREEWAY, SUITE 400</rptOwnerStreet2>
            <rptOwnerCity>HOUSTON</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>77094</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-08-17</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2018-08-17</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1381800</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.34</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1381800</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Through BCE-AMR Holdings LLC</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-08-20</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2018-08-20</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>950000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.25</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2331800</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Through BCE-AMR Holdings LLC</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2018-08-21</value>
            </transactionDate>
            <deemedExecutionDate>
                <value>2018-08-21</value>
            </deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1069000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>4.41</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>3400800</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Through BCE-AMR Holdings LLC</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class C Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <value>2018-08-08</value>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>81305340</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>81305340</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Please see footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Common units of SRII Opco, LP and an equal number of shares of Class C Common Stock of Alta Mesa Resources, Inc. (the &quot;Company&quot;), are convertible, as a unit, into an equal number of shares of Class A Common Stock of the Company and have no expiration date.</footnote>
        <footnote id="F2">BCE-AMH Holdings, LLC, a Delaware limited liability company, holds 13,717,224 shares of Class C Common Stock on account of its proportionate share of (a) 142,268,993 common units of SRII Opco, LP and an equal number of shares of Class C Common Stock of the Company and (b) 51,194,824 Earn-Out Shares, in each case, beneficially owned by High Mesa Holdings, LP.</footnote>
        <footnote id="F3">BCE-MESA Holdings, LLC, a Delaware limited liability company, holds 67,588,116 shares of Class C Common Stock on account of its proportionate share of (a) 142,268,993 common units of SRII Opco, LP and an equal number of shares of Class C Common Stock of the Company and (b) 51,194,824 Earn-Out Shares, in each case, beneficially owned by High Mesa, LP.</footnote>
        <footnote id="F4">Each of BCE-AMH Holdings, LLC and BCE-MESA Holdings, LLC (collectively, the &quot;BCE Holders&quot;), and BCE-AMR Holdings LLC (&quot;BCE-AMR&quot;), are managed, directly or indirectly, by Bayou City Energy Management LLC (&quot;BCEM&quot;). William W. McMullen is the Managing Partner of BCEM. Each of BCEM (by virtue of its relationship with the BCE Holders and BCE-AMR) and Mr. McMullen (by virtue of his relationship with BCEM) may be deemed to indirectly beneficially own (as that term is defined in Rule 13d-3 under the Act) the Class C Common Stock which the BCE Holders beneficially own and the Class A Common Stock which BCE-AMR owns. Mr. McMullen disclaims beneficial ownership of such Class A Common Stock and Class C Common Stock except to the extent of his pecuniary interest therein.</footnote>
        <footnote id="F5">(Continued from footnote 4) Mr. McMullen (by virtue of his relationship to BCEM) may be deemed to indirectly beneficially own (as that term is defined in Rule 13d-3 under the Act) the Class A Common Stock and the Class C Common Stock which BCEM beneficially owns. Mr. McMullen disclaims beneficial ownership of such Class A Common Stock and Class C Common Stock except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ William W. McMullen, Managing Director, Bayou City Energy Management LLC</signatureName>
        <signatureDate>2018-08-21</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William W. McMullen</signatureName>
        <signatureDate>2018-08-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
