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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-09-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001631650</issuerCik>
        <issuerName>Aimmune Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>AIMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001222037</rptOwnerCik>
            <rptOwnerName>ADELMAN DANIEL C MD</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>AIMMUNE THERAPEUTICS, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>8000 MARINA BOULEVARD, SUITE 300</rptOwnerStreet2>
            <rptOwnerCity>BRISBANE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94005-1884</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Medical Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $0.0001 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2020-09-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>F</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>840</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>34.25</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>28875</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The reported sale was made pursuant to a pre-determined election to sell shares to cover tax withholding obligations in connection with the vesting of a previously reported equity award.</footnote>
        <footnote id="F2">Includes 8,750 restricted stock units (&quot;RSUs&quot;) and will be settled in common stock upon vesting.  The RSUs vest in three successive, equal, annual installments measured from March 1, 2020, subject to the Reporting Person's continued service relationship with the Issuer on each such vesting date.</footnote>
        <footnote id="F3">Includes 8,906 RSUs and will be settled in common stock upon vesting.  The RSUs vest in four successive, equal, annual installments measured from March 1, 2019, subject to the Reporting Person's continued service relationship with the Issuer on each such vesting date.</footnote>
        <footnote id="F4">Includes 7,031 RSUs and will be settled in common stock upon vesting.  The RSUs vest in four successive, equal, annual installments measured from March 1, 2018, subject to the Reporting Person's continued service relationship with the Issuer on each such vesting date.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Douglas T. Sheehy, as Attorney in Fact for Daniel C. Adelman</signatureName>
        <signatureDate>2020-09-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
