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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-01-11</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001433270</issuerCik>
        <issuerName>ANTERO RESOURCES Corp</issuerName>
        <issuerTradingSymbol>AR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001239315</rptOwnerCik>
            <rptOwnerName>KAGAN PETER</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O WARBURG PINCUS &amp; CO.</rptOwnerStreet1>
            <rptOwnerStreet2>450 LEXINGTON AVENUE</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10017</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common stock, par value $0.01 per share</value>
            </securityTitle>
            <transactionDate>
                <value>2016-01-11</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>A</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>2709</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.0000</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>35396</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common stock, par value $0.01 per share</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>88989041</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnotes</value>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The Reporting Person is a Partner of Warburg Pincus &amp; Co., a New York general partnership (&quot;WP&quot;), and a Member and Managing Director of Warburg Pincus LLC, a New York limited liability company (&quot;WP LLC&quot;). The Warburg Pincus Entities (as defined below in footnote 5) collectively own 88,989,041 shares of common stock (&quot;Common Stock&quot;) of Antero Resources Corporation (the &quot;Issuer&quot;) as of the date hereof.</footnote>
        <footnote id="F2">All shares of Common Stock of the Issuer indicated as indirectly owned by the Reporting Person are included because of his affiliation with the Warburg Pincus Entities, due to which Mr. Kagan may be deemed to have an indirect pecuniary interest (within the meaning of Rule 16a-1 under the Securities and Exchange Act of 1934, as amended) in an indeterminate portion of the shares of Common Stock of the Issuer owned by the Warburg Pincus Entities. Mr. Kagan disclaims beneficial ownership of all shares of Common Stock of the Issuer attributable to the Warburg Pincus Entities except to the extent of his direct pecuniary interest therein.</footnote>
        <footnote id="F3">The Warburg Pincus funds are Warburg Pincus Private Equity VIII, L.P., a Delaware limited partnership (&quot;WP VIII&quot;, and together with its two affiliated partnerships, Warburg Pincus Netherlands Private Equity VIII C.V. I, a company formed under the laws of the Netherlands (&quot;WP VIII CV I&quot;), and WP-WPVIII Investors, L.P., a Delaware limited partnership (&quot;WP-WPVIII Investors&quot;), collectively, the &quot;WP VIII Funds&quot;), Warburg Pincus Private Equity X, L.P., a Delaware limited partnership (&quot;WP X&quot;), Warburg Pincus X Partners, L.P., a Delaware limited partnership (&quot;WP X Partners&quot;, and together with WP X, the &quot;WP X Funds&quot;), and Warburg Pincus Private Equity X O&amp;G, L.P., a Delaware limited partnership (&quot;WP X O&amp;G&quot;). WP-WPVIII Investors GP L.P., a Delaware limited partnership (&quot;WP-WPVIII GP&quot;), is the general partner of WP-WPVIII Investors.  Warburg Pincus X, L.P., a Delaware limited partnership (&quot;WP X GP&quot;), is the general partner of each of the WP X Funds and WP X O&amp;G.</footnote>
        <footnote id="F4">Warburg Pincus X GP L.P., a Delaware limited partnership (&quot;WP X GP LP&quot;), is the general partner of WP X GP.  WPP GP LLC, a Delaware limited liability company (&quot;WPP GP&quot;), is the managing member of WP-WPVIII GP and WP X GP.  Warburg Pincus Partners, L.P., a Delaware limited partnership (&quot;WP Partners&quot;), is (i) the managing member of WPP GP, and (ii) the general partner of WP VIII and WP VIII CV I.  Warburg Pincus Partners GP LLC, a Delaware limited liability company (&quot;WP Partners GP&quot;), is the general partner of WP Partners.  WP is the managing member of WP Partners GP. WP LLC is the manager of each of the WP VIII Funds, the WP X Funds, and WP X O&amp;G.</footnote>
        <footnote id="F5">Each of the WP VIII Funds, the WP X Funds, WP X O&amp;G, WP-WPVIII GP, WP X GP, WP X GP LP, WPP GP, WP Partners, WP Partners GP, WP and WP LLC are collectively referred to herein as the &quot;Warburg Pincus Entities.&quot;</footnote>
    </footnotes>

    <remarks>*** The Power of Attorney given by Mr. Kagan was previously filed with the U.S. Securities and Exchange Commission on May 13, 2014 as an exhibit to the Form 4 filed by Mr. Kagan with respect to Laredo Petroleum, Inc. and is hereby incorporated by reference.</remarks>

    <ownerSignature>
        <signatureName>/s/ Robert B. Knauss, Attorney-in-fact for Peter R. Kagan***</signatureName>
        <signatureDate>2016-01-13</signatureDate>
    </ownerSignature>
</ownershipDocument>
