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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2016-12-01</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001578318</issuerCik>
        <issuerName>Envision Healthcare Holdings, Inc.</issuerName>
        <issuerTradingSymbol>EVHC</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001493926</rptOwnerCik>
            <rptOwnerName>Burt Carol</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>6200 S. SYRACUSE WAY</rptOwnerStreet1>
            <rptOwnerStreet2>STE 200</rptOwnerStreet2>
            <rptOwnerCity>GREENWOOD VILLAGE</rptOwnerCity>
            <rptOwnerState>CO</rptOwnerState>
            <rptOwnerZipCode>80111</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</value>
            </securityTitle>
            <transactionDate>
                <value>2016-12-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>14526</value>
                    <footnoteId id="F2"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <transactionDate>
                <value>2016-12-01</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>61010</value>
                    <footnoteId id="F3"/>
                    <footnoteId id="F4"/>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F4"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                    <footnoteId id="F5"/>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Trust</value>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">Disposition pursuant to the terms of the Agreement and Plan of Merger, dated as of June 15, 2016, by and among Envision Healthcare Holdings, Inc., New Amethyst Corp. and AmSurg Corp. (the &quot;Merger Agreement&quot;), exempt under Rule 16b-3.</footnote>
        <footnote id="F2">Pursuant to the terms of the Merger Agreement, at the Merger 2 Effective Time, each share of common stock held by the reporting person immediately prior to the Merger 2 Effective Time (as defined in the Merger Agreement) was assumed by New Amethyst and converted into a New Amethyst share of common stock having the same terms and conditions, taking into account any changes thereto by reason of the Mergers (as defined in the Merger Agreement).</footnote>
        <footnote id="F3">Represents restricted stock units granted as director fees. The restricted stock units vest on the earlier of (i) the one year anniversary of the grant date or (ii) the date of the Company's next annual shareholders meeting, in each case subject to Ms. Burt's continued service on the Company's board of directors, and will be settled upon vesting.</footnote>
        <footnote id="F4">Pursuant to the terms of the Merger Agreement, at the Merger 2 Effective Time, each restricted stock unit held by the reporting person immediately prior to the Merger 2 Effective Time (as defined in the Merger Agreement) was assumed by New Amethyst and converted into a New Amethyst restricted stock unit having the same terms and conditions, taking into account any changes thereto by reason of the Mergers (as defined in the Merger Agreement).</footnote>
        <footnote id="F5">These restricted stock units are held by the Carol Burt Hilliard Trust dated February 26, 2009.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Craig A. Wilson, Attorney-in-Fact for Carol J. Burt</signatureName>
        <signatureDate>2016-12-01</signatureDate>
    </ownerSignature>
</ownershipDocument>
