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

    <schemaVersion>X0508</schemaVersion>

    <documentType>4</documentType>

    <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>0001678631</rptOwnerCik>
            <rptOwnerName>Bruce Scott G.</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>President</officerTitle>
        </reportingOwnerRelationship>
    </reportingOwner>

    <aff10b5One>0</aff10b5One>

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                <value>Class A Common Stock</value>
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            <transactionTimeliness>
                <value></value>
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                <transactionShares>
                    <value>1458669</value>
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                    <footnoteId id="F2"/>
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                    <value>1601109</value>
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                </directOrIndirectOwnership>
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        <nonDerivativeTransaction>
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                <footnoteId id="F6"/>
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                <value>2023-09-21</value>
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                <transactionCode>D</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
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            <transactionTimeliness>
                <value></value>
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    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>LTIP Units</value>
            </securityTitle>
            <conversionOrExercisePrice>
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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>
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            <transactionTimeliness>
                <value></value>
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            <transactionAmounts>
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            <expirationDate>
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            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class A Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>1458669</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
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        </derivativeTransaction>
        <derivativeTransaction>
            <securityTitle>
                <value>Series B Founder Preferred Stock</value>
                <footnoteId id="F5"/>
            </securityTitle>
            <conversionOrExercisePrice>
                <footnoteId id="F5"/>
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            <transactionDate>
                <value>2023-09-21</value>
            </transactionDate>
            <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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            <transactionAmounts>
                <transactionShares>
                    <value>75000</value>
                </transactionShares>
                <transactionPricePerShare>
                    <footnoteId id="F1"/>
                    <footnoteId id="F2"/>
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            <expirationDate>
                <footnoteId id="F1"/>
                <footnoteId id="F2"/>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Class B Common Stock</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>75000</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
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            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>D</value>
                </directOrIndirectOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <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 form 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">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.</footnote>
        <footnote id="F4">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="F5">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>
        <footnote id="F6">Previously, Mr. Bruce served as the Investment and Independent Trustee of each of the Stephen L. Berkman LLC Trust and the Monroe E. Berkman LLC Trust and held investment power of securities held by such trusts.  Effective as of September 1, 2023, Mr. Bruce ceased serving as the Investment and Independent Trustee of each of the Stephen L. Berkman LLC Trust and the Monroe E. Berkman LLC Trust and, consequently, as of such date, Mr. Bruce does not beneficially own any securities held by such trusts.</footnote>
    </footnotes>

    <remarks></remarks>

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