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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2019-11-06</periodOfReport>

    <noSecuritiesOwned>1</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001563577</issuerCik>
        <issuerName>Galera Therapeutics, Inc.</issuerName>
        <issuerTradingSymbol>GRTX</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001710382</rptOwnerCik>
            <rptOwnerName>Cunningham Emmett</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CLARUS VENTURES</rptOwnerStreet1>
            <rptOwnerStreet2>101 MAIN STREET, SUITE 1210</rptOwnerStreet2>
            <rptOwnerCity>CAMBRIDGE</rptOwnerCity>
            <rptOwnerState>MA</rptOwnerState>
            <rptOwnerZipCode>02142</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>Mr. Cunningham, an employee of The Blackstone Group Inc. (&quot;Blackstone&quot;) or one of its affiliates, is a member of the board of directors of the issuer.  Certain affiliates of Blackstone have filed a separate Form 3 reporting securities of the issuer that they may be deemed to beneficially own.  Mr. Cunningham disclaims beneficial ownership of any securities of the issuer that may be deemed to be beneficially owned by affiliates of Blackstone.</remarks>

    <ownerSignature>
        <signatureName>/s/ Emmett Cunningham</signatureName>
        <signatureDate>2019-11-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
