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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2021-03-04</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001842883</issuerCik>
        <issuerName>First Reserve Sustainable Growth Corp.</issuerName>
        <issuerTradingSymbol>FRSG</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001849377</rptOwnerCik>
            <rptOwnerName>Brelinsky Mary Anne</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>FIRST RESERVE SUSTAINABLE GROWTH CORP.</rptOwnerStreet1>
            <rptOwnerStreet2>290 HARBOR DRIVE, FIFTH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>STAMFORD</rptOwnerCity>
            <rptOwnerState>CT</rptOwnerState>
            <rptOwnerZipCode>06902</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>The reporting person has an indirect pecuniary interest in shares of Class B common stock, par value $0.0001 per share, of First Reserve Sustainable Growth Corp. through her membership interests in First Reserve Sustainable Growth Sponsor LLC, over which the reporting person does not have voting or dispositive control.

Exhibit 24 - Power of Attorney</remarks>

    <ownerSignature>
        <signatureName>/s/ Mary Anne Brelinsky, by Neil A. Wizel as Attorney-in-Fact</signatureName>
        <signatureDate>2021-03-04</signatureDate>
    </ownerSignature>
</ownershipDocument>
