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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-11-25</periodOfReport>

    <issuer>
        <issuerCik>0001661181</issuerCik>
        <issuerName>Avista Healthcare Public Acquisition Corp.</issuerName>
        <issuerTradingSymbol>AHPA</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001661187</rptOwnerCik>
            <rptOwnerName>Avista Acquisition Corp.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AVISTA HEALTHCARE PUBLIC ACQUISITION</rptOwnerStreet1>
            <rptOwnerStreet2>CORP. 65 EAST 55TH STREET, 18TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isTenPercentOwner>true</isTenPercentOwner>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001686388</rptOwnerCik>
            <rptOwnerName>Avista Acquisition, LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AVISTA HEALTHCARE PUBLIC ACQUISITION</rptOwnerStreet1>
            <rptOwnerStreet2>CORP. 65 EAST 55TH STREET, 18TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isTenPercentOwner>true</isTenPercentOwner>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001069096</rptOwnerCik>
            <rptOwnerName>Dean Thompson</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AVISTA HEALTHCARE PUBLIC ACQUISITION</rptOwnerStreet1>
            <rptOwnerStreet2>CORP. 65 EAST 55TH STREET, 18TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <officerTitle>Executive Chairman</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001374179</rptOwnerCik>
            <rptOwnerName>Burgstahler David F</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O AVISTA HEALTHCARE PUBLIC ACQUISITION</rptOwnerStreet1>
            <rptOwnerStreet2>CORP. 65 EAST 55TH STREET, 18TH FLOOR</rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10022</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-11-25</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>J</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F2"/>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>700000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>700000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>6040000</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Class B Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2016-11-28</value>
            </transactionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionAmounts>
                <transactionShares>
                    <value>161180</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.003</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>161180</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>5878820</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                    <footnoteId id="F5"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the Amended and Restated Memorandum and Articles of Association (the &quot;Articles&quot;) of the Issuer, the Class B ordinary shares, par value $0.0001 per share (the &quot;Class B Shares&quot;) will automatically convert into Class A ordinary shares, par value $0.0001 per share, of the Issuer at the time of the Issuer's Business Combination, as defined in the Articles, on a one-for-one basis, subject to adjustment, and have no expiration date.</footnote>
        <footnote id="F2">700,000 shares of the Class B Shares were forfeited by Avista Acquisition Corp. (the &quot;Sponsor&quot;) to the Issuer at no cost in connection with the underwriters' election not to exercise the remaining unused portion of the over-allotment option, as described in the Issuer's registration statement on Form S-1 (File No. 333-213465). Any indirect forfeitures by Thompson Dean and David Burgstahler (see footnote 3) are exempt transactions pursuant to Rule 16b-3(e) under the Exchange Act.</footnote>
        <footnote id="F3">Directly owned by Sponsor. The sole shareholder of Sponsor is Avista Acquisition, LLC (&quot;Avista Acquisition&quot;). Thompson Dean and David Burgstahler are the managers of Avista Acquisition (and, together with Sponsor, Messrs. Dean and Burgstahler are the &quot;Reporting Persons&quot;).</footnote>
        <footnote id="F4">Because of the relationship among the Reporting Persons, the Reporting Persons may be deemed to beneficially own the securities reported herein to the extent of their respective pecuniary interests. Each Reporting Person disclaims beneficial ownership of the securities reported herein, except to the extent of such Reporting Person's pecuniary interest therein, if any.</footnote>
        <footnote id="F5">Pursuant to Rule 16a-1(a)(4) under the Exchange Act, this filing shall not be deemed an admission that the Reporting Persons are, for purposes of Section 16 of the Exchange Act or otherwise, the beneficial owners of any equity securities in excess of their respective pecuniary interests.</footnote>
    </footnotes>

    <remarks>Exhibit 99.1 Joint Filer Information, incorporated herein by reference.</remarks>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for Avista Acquisition Corp.</signatureName>
        <signatureDate>2016-11-29</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for Avista Acquisition, LLC.</signatureName>
        <signatureDate>2016-11-29</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for Thompson Dean</signatureName>
        <signatureDate>2016-11-29</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for David Burgstahler</signatureName>
        <signatureDate>2016-11-29</signatureDate>
    </ownerSignature>
</ownershipDocument>
