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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-06-07</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001688852</issuerCik>
        <issuerName>Safehold Inc.</issuerName>
        <issuerTradingSymbol>SAFE</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001191821</rptOwnerCik>
            <rptOwnerName>ADLER DEAN S</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>3284 NORTHSIDE PARKWAY</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ATLANTA</rptOwnerCity>
            <rptOwnerState>GA</rptOwnerState>
            <rptOwnerZipCode>30327</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2022-06-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>6500</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>53513</value>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On June 7, 2022, the Reporting Person was granted 6,500 shares of Common Stock of Safehold Inc. (NYSE: SAFE) for his services as a Director of Safehold Inc. At the Reporting Person's direction, the shares were issued directly to SFTY VII-B, LLC (&quot;SFTY&quot;). The shares were fully vested on the grant date. Shares owned following the reported transaction gives effect to the transfer from Mr. Adler to SFTY of shares held by Mr. Adler for SFTY's benefit.</footnote>
        <footnote id="F2">The shares are held of record by SFTY. SFTY's sole member is Lubert-Adler Real Estate Fund VII-B, L.P. (&quot;L-A RE Fund VII-B&quot;). L-A RE Fund VII-B's general partner is Lubert-Adler Group VII-B, LLC (&quot;L-A Group VII-B LLC&quot;). L-A Group VII-B LLC's sole member is Lubert-Adler Group VII-B Holdings, L.P. (&quot;L-A Holdings VII-B LP&quot;). L-A Holdings VII-B LP's general partner is Lubert-Adler Group VII-B Holdings, LLC (&quot;L-A Holdings VII-B LLC&quot;). Mr. Adler is one of two members of L-A Holdings VII-B LLC. As a result, Mr. Adler may be deemed to share beneficial ownership of the reported shares.</footnote>
        <footnote id="F3">Mr. Adler expressly disclaims beneficial ownership of the reported shares except to the extent of his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Mark Kripke, as attorney-in-fact for Dean S. Adler</signatureName>
        <signatureDate>2022-06-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
