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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-11-25</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001761940</issuerCik>
        <issuerName>Diamond S Shipping Inc.</issuerName>
        <issuerTradingSymbol>DSSI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001544731</rptOwnerCik>
            <rptOwnerName>First Reserve GP XII Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001544730</rptOwnerCik>
            <rptOwnerName>First Reserve GP XII, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001442289</rptOwnerCik>
            <rptOwnerName>FIRST RESERVE FUND XII LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001442290</rptOwnerCik>
            <rptOwnerName>FR XII A PARALLEL VEHICLE LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000908428</rptOwnerCik>
            <rptOwnerName>MACAULAY WILLIAM E</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $0.001 par value per share</value>
            </securityTitle>
            <transactionDate>
                <value>2019-11-25</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>70923</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.75</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>8103782</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, $0.001 par value per share</value>
            </securityTitle>
            <transactionDate>
                <value>2019-11-27</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>3950681</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.75</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>4153101</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnotes</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">4,079,860 shares of common stock are held directly by First Reserve Fund XII, L.P. (&quot;Fund XII&quot;) after the sale of 3,950,681 shares of common stock reported herein.</footnote>
        <footnote id="F2">73,241 shares of common stock are held directly by FR XII-A Parallel Vehicle, L.P. (&quot;Parallel Vehicle&quot;) after the sale of 70,923 shares of common stock reported herein.</footnote>
        <footnote id="F3">This form is filed jointly by First Reserve GP XII Limited (&quot;GP XII Limited&quot;), First Reserve GP XII, L.P. (&quot;GP XII&quot;), Fund XII, Parallel Vehicle and William E. Macaulay.</footnote>
        <footnote id="F4">GP XII Limited is the general partner of GP XII, which in turn is the general partner of each of Fund XII and Parallel Vehicle. Mr. Macaulay is the chairman of the board of directors of GP XII Limited (the &quot;Board&quot;) and has the right to appoint the majority of the directors of the Board.</footnote>
        <footnote id="F5">The reporting persons disclaim beneficial ownership of the reported securities except to the extent of their pecuniary interest therein, and this report shall not be deemed an admission that the reporting persons are the beneficial owners of the reported securities for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>FIRST RESERVE GP XII LIMITED, By: /s/ Anne E. Gold, Name: Anne E. Gold, Title: Chief Compliance Officer, Secretary &amp; Assistant Treasurer</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FIRST RESERVE GP XII, L.P., , by First Reserve GP XII Limited, its general partner, By: /s/ Anne E. Gold, Name: Anne E. Gold, Title: Chief Compliance Officer, Secretary &amp; Assistant Treasurer of the general partner</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FIRST RESERVE FUND XII L.P., by First Reserve GP XII, L.P., its general partner, By: /s/ Anne E. Gold, Name: Anne E. Gold, Title: Chief Compliance Officer, Secretary &amp; Assistant Treasurer of the general partner</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>FR XII A PARALLEL VEHICLE, L.P., by First Reserve GP XII, L.P., its general partner, By: /s/ Anne E. Gold, Name: Anne E. Gold, Title: Chief Compliance Officer, Secretary &amp; Assistant Treasurer of the general partner</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>WILLIAM E. MACAULAY, By: /s/ Anne E. Gold, Name: Anne E. Gold, Title: Attorney-in-fact for William E. Macaulay</signatureName>
        <signatureDate>2019-11-27</signatureDate>
    </ownerSignature>
</ownershipDocument>
