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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2021-01-06</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001521168</issuerCik>
        <issuerName>SandRidge Permian Trust</issuerName>
        <issuerTradingSymbol>PERS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001821572</rptOwnerCik>
            <rptOwnerName>Montare Resources I, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>400 EAST LAS COLINAS BLVD., SUITE 680</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>IRVING</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75039</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>Member of 10% Group</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Units of Beneficial Interest</value>
            </securityTitle>
            <transactionDate>
                <value>2021-01-06</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>P</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>39956</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.3999</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5056912</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Montare Resources I, LLC, a Texas limited liability company (the &quot;Reporting Person&quot;), states that neither the filing of this statement nor anything herein shall be deemed an admission that the Reporting Person is, for purposes of Section 16 of the Securities Exchange Act of 1934, as amended (the &quot;Exchange Act&quot;) or otherwise, the beneficial owners of any securities covered by this statement. The Reporting Person disclaims beneficial ownership of the securities covered by this statement, except to the extent of the pecuniary interest of the Reporting Person in such securities.</footnote>
        <footnote id="F2">The Reporting Person may be deemed to be a member of a group with respect to SandRidge Permian Trust, a Delaware statutory trust (the &quot;Issuer&quot;), or securities of the Issuer for purposes of Section 13(d) or 13(g) of the Exchange Act. The Reporting Person declares that neither the filing of this statement nor anything herein shall be construed as an admission that the Reporting Person is, for the purposes of Section 13(d) or 13(g) of the Exchange Act or any other purpose, a member of a group with respect to the Issuer or securities of the Issuer.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>MONTARE RESOURCES I, LLC, By: /s/ Dickie D. Hunter, Name: Dickie D. Hunter, Title: President</signatureName>
        <signatureDate>2021-01-08</signatureDate>
    </ownerSignature>
</ownershipDocument>
