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

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2016-10-07</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <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 CAPITAL PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>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>1160 PARK AVENUE, APT. 12D</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>NEW YORK</rptOwnerCity>
            <rptOwnerState>NY</rptOwnerState>
            <rptOwnerZipCode>10128</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>true</isDirector>
            <isOfficer>true</isOfficer>
            <isTenPercentOwner>true</isTenPercentOwner>
            <officerTitle>President and CEO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <derivativeTable>
        <derivativeHolding>
            <securityTitle>
                <value>Class B Ordinary Shares</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
            </conversionOrExercisePrice>
            <exerciseDate>
                <footnoteId id="F1"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Ordinary Shares</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>6740000</value>
                    <footnoteId id="F1"/>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeHolding>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Avista Acquisition Corp. (&quot;Sponsor&quot;) directly owns 6,740,000 Class B ordinary shares, par value $0.0001 per share (the &quot;Class B Shares&quot;), of the Issuer, including 900,000 shares that are subject to forfeiture if the underwriters of the Issuer's initial public offering do not exercise in full an option granted to them to cover over-allotments. Pursuant to the Amended and Restated Memorandum and Articles of Association of the Issuer, such Class B Shares will automatically convert into Class A ordinary shares, par value $0.0001 per share, of the Issuer at the time of the Issuer's initial business combination on a one-for-one basis, subject to adjustment, and have no expiration date.</footnote>
        <footnote id="F2">The sole shareholder of Sponsor is Avista Acquisition, LLC (&quot;Avista Acquisiton&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="F3">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="F4">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>See Exhibit 24.1 - Power of Attorney, incorporated herein by reference.
Exhibit 24.2 - Power of Attorney, incorporated herein by reference.
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>2016-10-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/Benjamin Silbert, Attorney-in Fact for Avista Acquisition, LLC</signatureName>
        <signatureDate>2016-10-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for Thompson Dean</signatureName>
        <signatureDate>2016-10-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Benjamin Silbert, Attorney-in-Fact for David Burgstahler</signatureName>
        <signatureDate>2016-10-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
