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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2022-08-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

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

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001466948</rptOwnerCik>
            <rptOwnerName>Index Ventures Growth I Parallel Entrepreneur Fund (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>0001591294</rptOwnerCik>
            <rptOwnerName>Yucca (Jersey) SLP</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>2022-08-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>1595</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>23.0022</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>515397</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F2"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2022-08-11</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>238</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>23.0022</value>
                    <footnoteId id="F1"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>76823</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Yucca (Jersey) SLP</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </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="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Class A Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>12966414</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Index Ventures Growth I (Jersey) L.P.</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The price reported in column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $23.00 - $23.04. The reporting persons undertake to provide to the Issuer, any security holder of the Issuer or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the range set forth in this footnote.</footnote>
        <footnote id="F2">The shares are held of record by Index Ventures Growth I Parallel Entrepreneur Fund (Jersey), L.P. (&quot;Index Growth I Parallel&quot;). Index Venture Growth Associates I Limited (&quot;IVGA I&quot;) is the managing general partner of Index Growth I Parallel. 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 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 Ventures Growth I (Jersey) L.P. (&quot;Index Growth I&quot;) 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>
        <footnote id="F4">The shares are held of record by IVGA I.</footnote>
        <footnote id="F5">The shares are held of record by Index Growth I. IVGA I is the managing general partner of Index Growth I. 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 Parallel Entrepreneur Fund (Jersey) L.P., By: Index Venture Growth Associates I Ltd, as General Partner, By: /s/ Nigel Greenwood, Director</signatureName>
        <signatureDate>2022-08-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Yucca (Jersey) SLP, By Intertrust Employee Benefit Services Limited, as authorized signatory of Yucca (Jersey) SLP in its capacity as Administrator of the Index Co-Investment Scheme, By: /s/ Chris Gottard and /s/ Lucy Miller, Authorized Signatories</signatureName>
        <signatureDate>2022-08-15</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>Index Venture Growth Associates I Ltd, as General Partner, By: /s/ Nigel Greenwood, Director</signatureName>
        <signatureDate>2022-08-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
