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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-06-22</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001650322</rptOwnerCik>
            <rptOwnerName>Dallas Jayson Donald Alexander</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>1</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $0.0001 par value</value>
            </securityTitle>
            <transactionDate>
                <value>2020-06-22</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>7907</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>18.02</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>118676</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </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 3,300 restricted stock units (&quot;RSUs&quot;) which will be settled in common stock upon vesting.  The RSUs vest as to 100% of the underlying shares on September 11, 2020 (the &quot;Vesting Date&quot;), subject to the Reporting Person's continued service relationship with the Issuer on the Vesting Date.</footnote>
        <footnote id="F3">Includes 33,000 RSUs which 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="F4">Includes the balance of 35,000 RSUs which 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="F5">Includes the balance of 60,000 RSUs which will be settled in common stock upon vesting.  The RSUs vest in four successive, equal, annual installments measured from June 19, 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 Jayson Donald Alexander Dallas</signatureName>
        <signatureDate>2020-06-26</signatureDate>
    </ownerSignature>
</ownershipDocument>
