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    <periodOfReport>2020-03-09</periodOfReport>

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    <issuer>
        <issuerCik>0001608249</issuerCik>
        <issuerName>Zayo Group Holdings, Inc.</issuerName>
        <issuerTradingSymbol>ZAYO</issuerTradingSymbol>
    </issuer>

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        <reportingOwnerId>
            <rptOwnerCik>0001751496</rptOwnerCik>
            <rptOwnerName>Mays Sandra</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1821 30TH STREET</rptOwnerStreet1>
            <rptOwnerStreet2>UNIT A</rptOwnerStreet2>
            <rptOwnerCity>BOULDER</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80301</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
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            <isOfficer>1</isOfficer>
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            <isOther>0</isOther>
            <officerTitle>CIO</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

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    <footnotes>
        <footnote id="F1">On May 8, 2019, Zayo Group Holdings, Inc. (the &quot;Company&quot;) entered into an Agreement and Plan of Merger (the &quot;Merger Agreement&quot;) by and among Front Range TopCo, Inc. (&quot;Parent&quot;) and Front Range BidCo, Inc. (&quot;Merger Sub&quot;). On March 9, 2020, Merger Sub merged with any into the Company pursuant to Section 251(h) of the General Corporation Law of the State of Delaware, with the Company being the surviving corporation and becoming a wholly owned subsidiary of Parent (the &quot;Merger&quot;). Pursuant to the terms of the Merger Agreement, each share of Company common stock was converted into the right to receive an amount in cash equal to $35 (the &quot;Merger Consideration&quot;), without interest and not including any required withholding of taxes.</footnote>
        <footnote id="F2">On January 2, 2019, the Reporting Person was granted Part B RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU, based on deemed target performance, to paid in full at the closing of the Merger.</footnote>
        <footnote id="F3">On April 5, 2019, the Reporting Person was granted Part B RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU, based on deemed target performance, to paid in full at the closing of the Merger.</footnote>
        <footnote id="F4">On May 29, 2019 the Reporting Person was granted Part A RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU to paid in full on March  31, 2020.</footnote>
        <footnote id="F5">On July 5, 2019 the Reporting Person was granted Part B RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU, based on deemed target performance, to paid in full on September 30, 2020.</footnote>
        <footnote id="F6">On September 26, 2019 the Reporting Person was granted Part A RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU to paid in full on June 30, 2020.</footnote>
        <footnote id="F7">On October 4, 2019, the Reporting Person was granted Part B RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU, based on deemed target performance, to paid in full on December 31, 2020.</footnote>
        <footnote id="F8">On November 27, 2019 the Reporting Person was granted Part A RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU to paid in full on September 30, 2020.</footnote>
        <footnote id="F9">On January 6, 2020, the Reporting Person was granted Part B RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU, based on deemed target performance, to paid in full on March 31, 2021.</footnote>
        <footnote id="F10">On February 26, 2020, the Reporting Person was granted Part A RSUs that were unvested as of the closing of the Merger. Each such RSU held by the Reporting Person was converted into the right to receive the Merger Consideration for each such RSU to paid in full on December 31, 2020.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Shira Cooks, as attorney in fact</signatureName>
        <signatureDate>2020-03-09</signatureDate>
    </ownerSignature>
</ownershipDocument>
