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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-10-05</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001496963</issuerCik>
        <issuerName>Squarespace, Inc.</issuerName>
        <issuerTradingSymbol>SQSP</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001466950</rptOwnerCik>
            <rptOwnerName>Index Ventures Growth I (Jersey) L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>5TH FLOOR, 44 ESPLANADE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ST. HELIER</rptOwnerCity>
            <rptOwnerState>Y9</rptOwnerState>
            <rptOwnerZipCode>JE1 3FG</rptOwnerZipCode>
            <rptOwnerStateDescription>JERSEY</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001447961</rptOwnerCik>
            <rptOwnerName>Index Venture Growth Associates I Ltd</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>44 ESPLANADE</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>ST. HELIER</rptOwnerCity>
            <rptOwnerState>Y9</rptOwnerState>
            <rptOwnerZipCode>JE1 3FG</rptOwnerZipCode>
            <rptOwnerStateDescription>JERSEY</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-10-05</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1852344</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>11114070</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>483933</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Index Venture Growth Associates I Limited</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>452368</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Index Ventures Growth I Parallel Entrepreneur Fund (Jersey), L.P.</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>67428</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Yucca (Jersey) SLP</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">On October 5, 2022, Index Ventures Growth I (Jersey) L.P. (&quot;Index Growth I&quot;) distributed in-kind, without consideration, 1,852,344 shares of the Issuer's Class A Common Stock pro-rata to its limited partners and its general partner, Index Venture Growth Associates I Limited (&quot;IVGA I&quot;), in accordance with the exemptions under Rule 16a-9(a) and Rule 16a-13 of the Securities Exchange Act of 1934, as amended.</footnote>
        <footnote id="F2">The shares are held of record by Index Growth I. IVGA I is the managing general partner of Index Growth I. IVGA I disclaims beneficial ownership of such shares for purposes of Section 16 of the Securities Exchange Act of 1934 (&quot;Section 16&quot;) except to the extent of its pecuniary interest therein, if any, and this report shall not be deemed an admission that such shares are beneficially owned by it for Section 16 or any other purpose.</footnote>
        <footnote id="F3">The shares are held of record by IVGA I.</footnote>
        <footnote id="F4">The shares are held of record by Index Ventures Growth I Parallel Entrepreneur Fund (Jersey), L.P. (&quot;Index Growth I Parallel&quot;). IVGA I is the managing general partner of Index Growth I Parallel. IVGA I disclaims Section 16 beneficial ownership of such shares except to the extent of its pecuniary interest therein, if any, and this report shall not be deemed an admission that such shares are beneficially owned by it for Section 16 or any other purpose.</footnote>
        <footnote id="F5">The shares are held of record by Yucca (Jersey) SLP (&quot;Yucca&quot;). Yucca is the administrator of the Index co-investment vehicles that are contractually required to mirror the relevant Index funds' investment (in this case, Index Growth I and Index Growth I Parallel). IVGA I disclaims Section 16 beneficial ownership of such shares except to the extent of its pecuniary interest therein, if any, and this report shall not be deemed an admission that such shares are beneficially owned by it for Section 16 or any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Index Ventures Growth I (Jersey) L.P., By: Index Venture Growth Associates I Ltd, as General Partner, By: /s/ Nigel Greenwood, Director</signatureName>
        <signatureDate>2022-10-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Index Venture Growth Associates I Ltd, as General Partner, By: /s/ Nigel Greenwood, Director</signatureName>
        <signatureDate>2022-10-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
