<?xml version="1.0"?>
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    <periodOfReport>2023-09-21</periodOfReport>

    <notSubjectToSection16>1</notSubjectToSection16>

    <issuer>
        <issuerCik>0001810739</issuerCik>
        <issuerName>Radius Global Infrastructure, Inc.</issuerName>
        <issuerTradingSymbol>RADI</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001267347</rptOwnerCik>
            <rptOwnerName>BERKMAN WILLIAM H</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O RADIUS GLOBAL INFRASTRUCTURE, INC.</rptOwnerStreet1>
            <rptOwnerStreet2>3 BALA PLAZA EAST, SUITE 502</rptOwnerStreet2>
            <rptOwnerCity>BALA CYNWYD</rptOwnerCity>
            <rptOwnerState>PA</rptOwnerState>
            <rptOwnerZipCode>19004</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>0</isDirector>
            <isOfficer>1</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
            <officerTitle>Chief Executive Officer</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

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        <nonDerivativeTransaction>
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                <natureOfOwnership>
                    <value>Berkman 2012 GST Family Trust</value>
                    <footnoteId id="F3"/>
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        <nonDerivativeTransaction>
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            <ownershipNature>
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                <natureOfOwnership>
                    <value>By BB 2008 Investment Trust</value>
                    <footnoteId id="F4"/>
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        </nonDerivativeTransaction>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Class B Common Stock</value>
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            <transactionDate>
                <value>2023-09-21</value>
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                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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                <transactionPricePerShare>
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            <ownershipNature>
                <directOrIndirectOwnership>
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                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>BB JNB Wrapper, LLC</value>
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        <nonDerivativeTransaction>
            <securityTitle>
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            <transactionDate>
                <value>2023-09-21</value>
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            <transactionTimeliness>
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            <ownershipNature>
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                <natureOfOwnership>
                    <value>By BB Partners LLC</value>
                    <footnoteId id="F6"/>
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        <nonDerivativeTransaction>
            <securityTitle>
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                <footnoteId id="F7"/>
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    <derivativeTable>
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            <securityTitle>
                <value>LTIP Units</value>
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            <conversionOrExercisePrice>
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            <transactionDate>
                <value>2023-09-21</value>
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            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
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                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
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                <transactionPricePerShare>
                    <footnoteId id="F8"/>
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                <transactionAcquiredDisposedCode>
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            </transactionAmounts>
            <exerciseDate>
                <footnoteId id="F8"/>
            </exerciseDate>
            <expirationDate>
                <footnoteId id="F8"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>3325660</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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            <ownershipNature>
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                    <value>D</value>
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        <derivativeTransaction>
            <securityTitle>
                <value>Series B Rollover Profits Units</value>
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                <footnoteId id="F9"/>
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            <transactionDate>
                <value>2023-09-21</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
                <transactionShares>
                    <value>207851</value>
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                <transactionPricePerShare>
                    <footnoteId id="F9"/>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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            <exerciseDate>
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            <expirationDate>
                <footnoteId id="F9"/>
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            <underlyingSecurity>
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                    <value>Class A Common Stock</value>
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                <underlyingSecurityShares>
                    <value>207851</value>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
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        <derivativeTransaction>
            <securityTitle>
                <value>Series B Founder Preferred Stock</value>
                <footnoteId id="F10"/>
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                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
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            <transactionDate>
                <value>2023-09-21</value>
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            <deemedExecutionDate></deemedExecutionDate>
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                <transactionFormType>4</transactionFormType>
                <transactionCode>S</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>1236033</value>
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                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
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                <transactionAcquiredDisposedCode>
                    <value>D</value>
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                <footnoteId id="F2"/>
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            <expirationDate>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
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                <underlyingSecurityShares>
                    <value>1236033</value>
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                <sharesOwnedFollowingTransaction>
                    <value>0</value>
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            <ownershipNature>
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    <footnotes>
        <footnote id="F1">On 09/21/2023 (the &quot;Effective Time&quot;), pursuant to the Agreement and Plan of Merger, dated as of March 1, 2023 (as amended or otherwise modified from time to time, the &quot;Merger Agreement&quot;), by and among Radius Global Infrastructure, Inc., a Delaware corporation (the &quot;Company&quot;), APW OpCo LLC, a Delaware limited liability company (&quot;OpCo&quot;), Chord Parent, Inc., a Delaware corporation (&quot;Parent&quot;), Chord Merger Sub I, Inc., a Delaware corporation and a wholly owned subsidiary of Parent (&quot;Merger Sub I&quot;), and Chord Merger Sub II, LLC, a Delaware limited liability company and a wholly owned subsidiary of Merger Sub I (&quot;Merger Sub II&quot;), Merger Sub II merged with and into OpCo and Merger Sub I merged with and into the Company.</footnote>
        <footnote id="F2">(Continued from Footnote 1) Pursuant to the Merger Agreement, (a) unless otherwise agreed, each share of the Company's Class A Common Stock was converted into the right to receive $15.00 per share in cash (the &quot;Merger Consideration&quot;) and (b) each share of the Company's Class B Common Stock and each share of the Company's Series B Founder Preferred Stock was canceled for no consideration.</footnote>
        <footnote id="F3">Reflects shares of Class B Common Stock held by Berkman 2012 GST Family Trust. Mr. Berkman is the Investment Trustee of the Berkman 2012 GST Family Trust and has investment power of securities held by the Berkman 2012 GST Family Trust.</footnote>
        <footnote id="F4">Reflects shares of Class B Common Stock held by BB 2008 Investment Trust. Mr. Berkman is the Investment Trustee of the BB 2008 Investment Trust and has investment power of securities held by the BB 2008 Investment Trust.</footnote>
        <footnote id="F5">Reflects shares of Class B Common Stock held by BB JNB Wrapper, LLC.  Mr. Berkman is the sole manager of BB JNB Wrapper, LLC and has investment power of securities held by BB JNB Wrapper, LLC.</footnote>
        <footnote id="F6">Reflects shares of Class B Common Stock held by BB Partners LLC. Mr. Berkman is the managing member and majority owner of BB Partners LLC.</footnote>
        <footnote id="F7">Includes shares of Class B Common Stock that were granted in tandem with a corresponding number of Series A long-term incentive units (&quot;Series A LTIP Unit&quot;) and Series C long-term incentive units (&quot;Series C LTIP Unit&quot;) in OpCo, and Series B Rollover Profits Units.</footnote>
        <footnote id="F8">Pursuant to the Merger Agreement, at the Effective Time, unless otherwise agreed, each outstanding Series A LTIP Unit, Series C LTIP Unit and Series B long-term incentive unit (&quot;Series B LTIP Unit&quot; and, collectively with Series A LTIP Unit and Series C LTIP Unit, &quot;LTIP Units&quot;) vested with all applicable performance conditions deemed satisfied and was canceled and converted into the right to receive a lump-sum cash payment, without interest, equal to the product of the Merger Consideration and the number of shares of Class A Common Stock into which such LTIP Unit was convertible immediately prior to the Effective Time.</footnote>
        <footnote id="F9">Pursuant to the Merger Agreement, at the Effective Time, each outstanding Series B Rollover Profits Units vested and was canceled and converted into the right to receive a payment equal to the product of the Merger Consideration and the number of shares of Class A Common Stock into which such Series B Rollover Profits Units was convertible immediately prior to the Effective Time.</footnote>
        <footnote id="F10">Reflects shares of the Company's Series B Founder Preferred Stock (&quot;Series B Founder Preferred Stock&quot;) that were granted in tandem with a corresponding number of Series B LTIP Units and were convertible on a one-to-one basis into the Company's Class B Common Stock prior to the Effective Time.</footnote>
    </footnotes>

    <remarks></remarks>

    <ownerSignature>
        <signatureName>/s/ Andrew Rosenstein, as Attorney in Fact</signatureName>
        <signatureDate>2023-09-21</signatureDate>
    </ownerSignature>
</ownershipDocument>
