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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2015-02-13</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001590714</issuerCik>
        <issuerName>Platform Specialty Products Corp</issuerName>
        <issuerTradingSymbol>PAH</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001521239</rptOwnerCik>
            <rptOwnerName>Permira IV Managers LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PERMIRA IV MANAGERS L.P.</rptOwnerStreet1>
            <rptOwnerStreet2>TRAFALGAR COURT</rptOwnerStreet2>
            <rptOwnerCity>LES BANQUES</rptOwnerCity>
            <rptOwnerState>Y7</rptOwnerState>
            <rptOwnerZipCode>GY1 3QL</rptOwnerZipCode>
            <rptOwnerStateDescription>GUERNSEY</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001638696</rptOwnerCik>
            <rptOwnerName>Nalozo Cayman GP Ltd.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PERMIRA LUXEMBOURG S.A R.L.</rptOwnerStreet1>
            <rptOwnerStreet2>282 ROUTE DE LONGWY</rptOwnerStreet2>
            <rptOwnerCity>LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode>L-1940</rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001638571</rptOwnerCik>
            <rptOwnerName>Nalozo L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O PERMIRA LUXEMBOURG S.A R.L.</rptOwnerStreet1>
            <rptOwnerStreet2>282 ROUTE DE LONGWY</rptOwnerStreet2>
            <rptOwnerCity>LUXEMBOURG</rptOwnerCity>
            <rptOwnerState>N4</rptOwnerState>
            <rptOwnerZipCode>L-1940</rptOwnerZipCode>
            <rptOwnerStateDescription>LUXEMBOURG</rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Series B Preferred Stock, par value $0.01 per share</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>27.14</value>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>22107590</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Each share of Series B convertible preferred stock entitles the holder on exercise to buy one share of Common Stock for $27.14, provided, that 19,296,242 shares may not be converted until the earlier of the expiration or early termination of any waiting period under the Hart Scot Rodino Antitrust Improvements Act of 1976, as amended.</footnote>
        <footnote id="F2">This report is filed jointly by Permira IV Managers L.P. (&quot;Permira IV&quot;), Nalozo L.P. (&quot;Nalozo LP&quot;) and Nalozo Cayman GP Ltd. (&quot;Nalozo GP&quot;)  (together, the &quot;Reporting Persons&quot;).  Nalozo GP is the general partner of Nalozo LP, and Nalozo LP is the direct beneficial owner of 22,107,590 shares of Series B convertible preferred stock of the Company. Each of the other Reporting Persons may be deemed an indirect beneficial owner of shares of Series B convertible preferred stock held by Nalozo LP, provided, however, that each of them disclaims beneficial ownership of the securities reported herein, except to the extent of the Reporting Persons' pecuniary interest therein, if any, and this report shall not be deemed an admission that any such Reporting Person is the beneficial owner of the securities reported herein for purposes of Section 16 or for any other purpose.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Kees Jager, as Authorized Signatory for Permira IV Managers L.P.</signatureName>
        <signatureDate>2015-04-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ John Coyle, as Authorized Signatory for Nalozo Cayman GP Ltd.</signatureName>
        <signatureDate>2015-04-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ John Coyle, as Authorized Signatory for Nalozo L.P.</signatureName>
        <signatureDate>2015-04-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
