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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2019-05-16</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001506401</issuerCik>
        <issuerName>InfraREIT, Inc.</issuerName>
        <issuerTradingSymbol>HIFR</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001631040</rptOwnerCik>
            <rptOwnerName>Meleski Brant</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>1900 NORTH AKARD STREET</rptOwnerStreet1>
            <rptOwnerStreet2></rptOwnerStreet2>
            <rptOwnerCity>DALLAS</rptOwnerCity>
            <rptOwnerState>TX</rptOwnerState>
            <rptOwnerZipCode>75201</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>SVP &amp; Chief Financial Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>common stock, $0.01 par value per share</value>
            </securityTitle>
            <transactionDate>
                <value>2019-05-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>10500</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                    <footnoteId id="F1"/>
                    <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>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>common units</value>
                <footnoteId id="F3"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2019-05-16</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>51323</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>21.00</value>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>common stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>51323</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>By Electricity Participant Partnership, LLC</value>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Pursuant to the Agreement and Plan of Merger, dated October 18, 2018, by and among InfraREIT, Inc., a Maryland corporation (&quot;InfraREIT&quot;), InfraREIT Partners, LP, a Delaware limited partnership and subsidiary of the Company (&quot;InfraREIT Partners&quot;), Oncor Electric Delivery Company LLC, a Delaware limited liability company (&quot;Oncor&quot;), 1912 Merger Sub LLC, a Delaware limited liability company and a wholly owned subsidiary of Oncor (&quot;Merger Sub&quot;), and Oncor T&amp;D Partners, LP, a Delaware limited partnership and a wholly owned indirect subsidiary of Oncor (&quot;Merger Partnership&quot;), among other things, (i) InfraREIT was merged with and into Merger Sub (the &quot;Company Merger&quot;), with Merger Sub surviving the Company Merger, and (ii) immediately thereafter, Merger Partnership was merged with and into InfraREIT Partners (the &quot;Partnership Merger&quot; and, together with the Company Merger, the &quot;Mergers&quot;), with InfraREIT Partners surviving the Partnership Merger.</footnote>
        <footnote id="F2">In the Company Merger and the Partnership Merger, respectively, each (A) share of common stock, par value $0.01 per share, of InfraREIT issued and outstanding immediately before the effective time of the Company Merger and (B) limited partnership unit in InfraREIT Partners issued and outstanding immediately before the effective time of the Partnership Merger was converted into the right to receive $21.00 per share of common stock or partnership unit, as applicable, in cash, without interest, and subject to deduction for any required withholding tax.</footnote>
        <footnote id="F3">Represents common units of InfraREIT Partners. Prior to the Mergers, common units were redeemable for cash or, at InfraREIT's election, shares of InfraREIT's common stock on a one-for-one basis in accordance with the Third Amended and Restated Agreement of Limited Partnership of InfraREIT Partners.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Gregory S. Imhoff as Attorney-In-Fact for Brant Meleski</signatureName>
        <signatureDate>2019-05-16</signatureDate>
    </ownerSignature>
</ownershipDocument>
