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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-05-12</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001555280</issuerCik>
        <issuerName>Zoetis Inc.</issuerName>
        <issuerTradingSymbol>ZTS</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001336528</rptOwnerCik>
            <rptOwnerName>Pershing Square Capital Management, L.P.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>888 SEVENTH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>42ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See footnote (4).</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001336477</rptOwnerCik>
            <rptOwnerName>PS Management GP, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>888 SEVENTH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>42ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See footnote (4).</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001056513</rptOwnerCik>
            <rptOwnerName>ACKMAN WILLIAM A</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>888 SEVENTH AVENUE</rptOwnerStreet1>
            <rptOwnerStreet2>42ND FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10019</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See footnote (4).</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <footnotes></footnotes>

    <remarks>(1)	In addition to Pershing Square Capital Management, L.P., a Delaware limited partnership (&quot;Pershing Square&quot;), this Form 4 is being filed jointly by PS Management GP, LLC, a Delaware limited liability company (&quot;PS Management&quot;), and William A. Ackman, a citizen of the United States of America (collectively, the &quot;Reporting Persons&quot;), each of whom has the same business address as Pershing Square and may be deemed to have a pecuniary interest in securities reported on this Form 4 (the &quot;Subject Securities&quot;).

(2)	Pershing Square advises the accounts of Pershing Square, L.P., a Delaware limited partnership (&quot;PS&quot;), Pershing Square II, L.P., a Delaware limited partnership (&quot;PS II&quot;), Pershing Square International, Ltd., a Cayman Islands exempted company (&quot;PS International&quot;), and Pershing Square Holdings, Ltd., a limited liability company incorporated in Guernsey (&quot;PSH&quot; and together with PS, PS II and PS International, the &quot;Pershing Square Funds&quot;).

(3)	Pershing Square, as the investment adviser to the Pershing Square Funds, may be deemed to be the beneficial owner of the Subject Securities for purposes of Rule 16a-1(a) under the Securities Exchange Act of 1934. As the general partner of Pershing Square, PS Management may be deemed to be the beneficial owner of the Subject Securities for purposes of Rule 16a-1(a). By virtue of Mr. Ackman's position as Chief Executive Officer of Pershing Square and managing member of PS Management, Mr. Ackman may be deemed to be the beneficial owner of the Subject Securities for purposes of Rule 16a-1(a).  Each of the Reporting Persons disclaims any beneficial ownership of any of the Subject Securities, except to the extent of any pecuniary interest therein.

(4)	This Form 4 is being filed because the Reporting Persons, the Pershing Square Funds and Pershing Square GP, LLC ceased to be directors by deputization of the Issuer on May 12, 2016, when the term as director of their representive, William F. Doyle, expired.</remarks>

    <ownerSignature>
        <signatureName>Pershing Square Capital Management, L.P., By: PS Management GP, LLC, its General Partner, By: /s/ William A. Ackman, Managing Member</signatureName>
        <signatureDate>2016-05-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>PS Management GP, LLC, By: /s/ William A. Ackman, Managing Member</signatureName>
        <signatureDate>2016-05-12</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ William A. Ackman</signatureName>
        <signatureDate>2016-05-12</signatureDate>
    </ownerSignature>
</ownershipDocument>
