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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-02-03</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001602367</issuerCik>
        <issuerName>Adeptus Health Inc.</issuerName>
        <issuerTradingSymbol>ADPT</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001166152</rptOwnerCik>
            <rptOwnerName>PRESCOTT GROUP CAPITAL MANAGEMENT, L.L.C.</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1924 SOUTH UTICA, SUITE 1120</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>TULSA</rptOwnerCity>
            <rptOwnerState>OK</rptOwnerState>
            <rptOwnerZipCode>74104</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001127429</rptOwnerCik>
            <rptOwnerName>FROHLICH PHIL</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1924 SOUTH UTICA, SUITE 1120</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>TULSA</rptOwnerCity>
            <rptOwnerState>OK</rptOwnerState>
            <rptOwnerZipCode>74014</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>1</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class A Common Stock, $0.01 par value per share</value>
            </securityTitle>
            <transactionDate>
                <value>2017-02-03</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>102192</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>7.21</value>
                    <footnoteId id="F3"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1594352</value>
                    <footnoteId id="F1"/>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See Footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">The filing of this Form 4 shall not be construed as an admission that Prescott Group Capital Management, L.L.C. (&quot;Prescott Capital&quot;) or Phil Frohlich, the manager of Prescott Capital, is or was for the purposes of Section 16(a) of the Securities Exchange Act of 1934, as amended, or otherwise the beneficial owner of any of the Class A Common Stock, $0.01 par value per share (the &quot;Common Stock&quot;), of Adeptus Health Inc. (the &quot;Issuer&quot;) purchased by (i) Prescott Group Aggressive Small Cap Master Fund, G.P. (the &quot;Master Fund&quot;) for the accounts of Prescott Group Aggressive Small Cap, L.P. or Prescott Group Aggressive Small Cap II, L.P. (together, the &quot;Small Cap Funds&quot;) and (ii) Prescott Group Aggressive Mid Cap, L.P. (&quot;Prescott Mid Cap&quot;).  Pursuant to Rule 16a-1, both Prescott Capital and Mr. Frohlich disclaim such beneficial ownership.</footnote>
        <footnote id="F2">Prescott Capital holds indirectly 1,594,352 shares of Common Stock of the Issuer through the accounts of the Master Fund and Prescott Mid Cap, for which Prescott Capital is the Investment Manager and/or general partner.  The Master Fund holds the Common Stock for the accounts of the Small Cap Funds, for which Prescott Capital is the Investment Manager.  Prescott Mid Cap holds the Common Stock directly.  Prescott Capital receives a portion of the profits in the form of a capital allocation from, and owns a partnership interest in, the Small Cap Funds and Prescott Mid Cap.  Phil Frohlich reports the Common Stock held indirectly by Prescott Capital because, as the manager of Prescott Capital at the time of purchase, he controlled the disposition and voting of the securities.</footnote>
        <footnote id="F3">The sales price represents a weighted average of the sales price for multiple transactions on the same trading day.  The range of sale prices was $7.18 to $7.27.  The Reporting Persons will provide upon request by the Commission staff, the Issuer, or a security holder of the Issuer, full information regarding the number of shares sold at each separate price.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>Phil Frohlich, manager of Prescott Group Capital Management, L.L.C.</signatureName>
        <signatureDate>2017-02-06</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>/s/ Phil Frohlich</signatureName>
        <signatureDate>2017-02-06</signatureDate>
    </ownerSignature>
</ownershipDocument>
