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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2023-03-07</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001863105</issuerCik>
        <issuerName>EngageSmart, Inc.</issuerName>
        <issuerTradingSymbol>ESMT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0000830588</rptOwnerCik>
            <rptOwnerName>SUMMIT PARTNERS L P</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001514386</rptOwnerCik>
            <rptOwnerName>Summit Partners Growth Equity Fund VIII-A, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001514388</rptOwnerCik>
            <rptOwnerName>Summit Partners Growth Equity Fund VIII-B, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001604887</rptOwnerCik>
            <rptOwnerName>Summit Partners Entrepreneur Advisors Fund I, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001435565</rptOwnerCik>
            <rptOwnerName>Summit Investors I, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001494616</rptOwnerCik>
            <rptOwnerName>Summit Investors I (UK), L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001627278</rptOwnerCik>
            <rptOwnerName>SUMMIT MASTER COMPANY, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001239366</rptOwnerCik>
            <rptOwnerName>CHUNG PETER Y</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001255670</rptOwnerCik>
            <rptOwnerName>COLLINS SCOTT C</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>222 BERKELEY STREET, 18TH FLOOR</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>BOSTON</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02116</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, par value $0.001 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2023-03-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>252727</value>
                    <footnoteId id="F1"/>
                </transactionShares>
                <transactionPricePerShare>
                    <value>18.1925</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>25004973</value>
                    <footnoteId id="F3"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Represents (i) 181,406 shares of Common Stock sold by Summit Partners Growth Equity Fund VIII-A, L.P., (ii) 66,271 shares of Common Stock sold by Summit Partners Growth Equity Fund VIII-B, L.P., (iii) 1,203 shares of Common Stock sold by Summit Partners Entrepreneur Advisors Fund I, L.P., (iv) 3,473 shares of Common Stock sold by Summit Investors I, LLC and (v) 374 shares of Common Stock sold by Summit Investors I (UK), L.P. The reported sales were effected pursuant to a full exercise by the underwriters of a greenshoe option of the previously reported underwritten public offering that closed on March 3, 2023.</footnote>
        <footnote id="F2">This amount represents a public offering price of $19.00 per share of Common Stock of EngageSmart, Inc. (the &quot;Company&quot;), less an underwriting discount of $0.8075 per share for shares sold in an underwritten public offering.</footnote>
        <footnote id="F3">Consists of (i) 17,948,333 shares of Common Stock held by Summit Partners Growth Equity Fund VIII-A, L.P., (ii) 6,556,911 shares of Common Stock held by Summit Partners Growth Equity Fund VIII-B, L.P.,(iii) 119,071 shares of Common Stock held by Summit Partners Entrepreneur Advisors Fund I, L.P., (iv) 343,615 shares of Common Stock held by Summit Investors I, LLC and (v) 37,043 shares of Common Stock held by Summit Investors I (UK), L.P.</footnote>
        <footnote id="F4">Summit Partners, L.P. is the managing member of Summit Partners GE VIII, LLC, which is the general partner of Summit Partners GE VIII, L.P., which is the general partner of each of Summit Partners Growth Equity Fund VIII-A, L.P. and Summit Partners Growth Equity Fund VIII-B, L.P. Summit Master Company, LLC is the (A) sole managing member of Summit Partners Entrepreneur Advisors GP, LLC, which is the general partner of Summit Partners Entrepreneur Advisors Fund I, L.P., and (B) the managing member of Summit Investors Management, LLC, which is the manager of Summit Investors I, LLC and the general partner of Summit Investors I (UK), L.P. Summit Master Company, LLC, as the sole managing member of Summit Partners Entrepreneur Advisors GP, LLC and</footnote>
        <footnote id="F5">(Continued from footnote 4), has delegated investment decisions, including voting and dispositive power, to Summit Partners, L.P. Investment decisions for Summit Partners, L.P. are made by its two-person Investment Committee, which is currently composed of Scott Collins and Peter Y. Chung. Summit Partners L.P., Scott Collins and Peter Y. Chung each have voting and dispositive authority over the shares held by each of these entities and therefore beneficially owns such shares. Each of the entities affiliated with Summit Partners, L.P. that are mentioned herein and each of Mr. Collins and Mr. Chung disclaims beneficial ownership of the shares of common stock, in each case, except to the extent of it or his pecuniary interest therein.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Partners Growth Equity Fund VIII-A, L.P.</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Partners Growth Equity Fund VIII-B, L.P.</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Partners Entrepreneur Advisors Fund I, L.P.</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Investors I, LLC</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Investors I (UK), L.P.</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Partners, L.P.</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Summit Master Company, LLC</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Peter Y. Chung</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Adam H. Hennessey, as attorney-in-fact for Scott Collins</signatureName>
        <signatureDate>2023-03-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
