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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-03-07</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001734342</issuerCik>
        <issuerName>Mercantil Bank Holding Corp</issuerName>
        <issuerTradingSymbol>AMTB</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001044282</rptOwnerCik>
            <rptOwnerName>Mercantil Servicios Financieros, C.A.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>AV. FCO. DE MIRANDA, LOS PALOS GRANDES,</rptOwnerStreet1>
            <rptOwnerStreet2>CC EL PARQUE, SUITES C-3-10 AND C-3-11</rptOwnerStreet2>
            <rptOwnerCity>CARACAS</rptOwnerCity>
            <rptOwnerState>X5</rptOwnerState>
            <rptOwnerZipCode></rptOwnerZipCode>
            <rptOwnerStateDescription>VENEZUELA</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class B Common Stock</value>
                <footnoteId id="F1"/>
            </securityTitle>
            <transactionDate>
                <value>2019-03-07</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2112321</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>13.48</value>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Mercantil Bank Holding Corporation repurchased from Mercantil Servicios Financieros, C.A. 2,112,321 shares of Class B Common Stock of Mercantil Bank Holding Corporation on March 7, 2019 using the net proceeds from the exercise of the over-allotment option in connection with the public offering of Mercantil Bank Holding Corporation Class A Common Stock completed in December 2018 and certain private placements of Mercantil Bank Holding Corporation Class A Common Stock occurring in January and February 2019.</footnote>
        <footnote id="F2">Price reflects the weighted average purchase price for multiple transactions that ranged from $12.61 to $13.82 per share. The Reporting Person undertakes to provide, upon request by the Commission Staff, the Issuer or a security holder of the Issuer, full information regarding the number of shares purchased at each separate price.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gustavo J. Vollmer A., Chairman and Chief Executive Officer</signatureName>
        <signatureDate>2019-03-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
