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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2020-12-28</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001717452</issuerCik>
        <issuerName>Odonate Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>ODT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001465837</rptOwnerCik>
            <rptOwnerName>Boxer Capital, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>12860 EL CAMINO REAL, SUITE 300</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>SAN DIEGO</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92130</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001465836</rptOwnerCik>
            <rptOwnerName>Boxer Asset Management Inc.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CAY HOUSE, EP TAYLOR DRIVE N7776</rptOwnerStreet1>
            <rptOwnerStreet2>LYFORD CAY</rptOwnerStreet2>
            <rptOwnerCity>NEW PROVIDENCE</rptOwnerCity>
            <rptOwnerState>C5</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>BAHAMAS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001015747</rptOwnerCik>
            <rptOwnerName>LEWIS JOSEPH</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CAY HOUSE, EP TAYLOR DRIVE</rptOwnerStreet1>
            <rptOwnerStreet2>LYFORD CAY</rptOwnerStreet2>
            <rptOwnerCity>NEW PROVIDENCE</rptOwnerCity>
            <rptOwnerState>C5</rptOwnerState>
            <rptOwnerZipCode>N7776</rptOwnerZipCode>
            <rptOwnerStateDescription>BAHAMAS</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>75000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>16.90</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5282086</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-28</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>225000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>17.1091</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5507086</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2020-12-30</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>100000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>17.4638</value>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5607086</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These securities are owned directly by Boxer Capital, LLC (&quot;Boxer Capital&quot;), which may be deemed to be a member of a &quot;group&quot; for purposes of Section 13(d) of the Securities Exchange Act of 1934, as amended, consisting of (i) Boxer Capital, (ii) Boxer Asset Management Inc. (&quot;Boxer Management&quot;), (iii) Aaron I. Davis, and (iv) Joseph C. Lewis (collectively, the &quot;Boxer Group&quot;).  Each member of the Boxer Group other than Boxer Capital disclaims beneficial ownership of these securities to the extent it or he does not have a pecuniary interest therein.</footnote>
        <footnote id="F2">These securities are owned indirectly by Boxer Management and Joseph C. Lewis, by virtue of their ownership of Boxer Capital.</footnote>
        <footnote id="F3">Reflects the weighted average purchase price. The reporting person effected multiple same-way open market purchase transactions on the same day at different prices through a trade order executed by a broker dealer. The reporting person reported on a single line all such transactions that occurred within a one dollar price range. The reporting person hereby undertakes to provide upon request by the Securities and Exchange Commission staff, the issuer, or a shareholder of the issuer, full information regarding the number of shares purchased at each separate price. The range of prices for such transaction is $16.75 to $17.29.</footnote>
        <footnote id="F4">Reflects the weighted average purchase price. The reporting person effected multiple same-way open market purchase transactions on the same day at different prices through a trade order executed by a
broker dealer. The reporting person reported on a single line all such transactions that occurred within a one dollar price range. The reporting person hereby undertakes to provide upon request by the
Securities and Exchange Commission staff, the issuer, or a shareholder of the issuer, full information regarding the number of shares purchased at each separate price. The range of prices for such transaction
is $16.89 to $17.72.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Boxer Capital, LLC, By: /s/ Aaron Davis, Aaron Davis, Chief Executive Officer</signatureName>
        <signatureDate>2020-12-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Boxer Asset Management Inc., By: /s/ Jason Callender, Jason Callender, Director</signatureName>
        <signatureDate>2020-12-30</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Joseph C. Lewis, /s/ Joseph C. Lewis, Joseph C. Lewis</signatureName>
        <signatureDate>2020-12-30</signatureDate>
    </ownerSignature>
</ownershipDocument>
