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

    <schemaVersion>X0306</schemaVersion>

    <documentType>4</documentType>

    <periodOfReport>2017-03-15</periodOfReport>

    <notSubjectToSection16>0</notSubjectToSection16>

    <issuer>
        <issuerCik>0001649338</issuerCik>
        <issuerName>Broadcom Ltd</issuerName>
        <issuerTradingSymbol>AVGO</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001415357</rptOwnerCik>
            <rptOwnerName>Hao Kenneth</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O SILVER LAKE PARTNERS</rptOwnerStreet1>
            <rptOwnerStreet2>2775 SAND HILL ROAD, SUITE 100</rptOwnerStreet2>
            <rptOwnerCity>MENLO PARK</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>94025</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>0</isOther>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeTransaction>
            <securityTitle>
                <value>Ordinary Shares, no par value</value>
            </securityTitle>
            <transactionDate>
                <value>2017-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7630</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>37.41</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>A</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>75289</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeTransaction>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares, no par value</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>1587737</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through SLP Argo I Ltd.</value>
                    <footnoteId id="F3"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares, no par value</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>30830</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>Held through SLP Argo II Ltd.</value>
                    <footnoteId id="F4"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Ordinary Shares, no par value</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>18</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F5"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <derivativeTable>
        <derivativeTransaction>
            <securityTitle>
                <value>Stock Option (Right to Buy)</value>
            </securityTitle>
            <conversionOrExercisePrice>
                <value>37.41</value>
            </conversionOrExercisePrice>
            <transactionDate>
                <value>2017-03-15</value>
            </transactionDate>
            <deemedExecutionDate></deemedExecutionDate>
            <transactionCoding>
                <transactionFormType>4</transactionFormType>
                <transactionCode>M</transactionCode>
                <equitySwapInvolved>0</equitySwapInvolved>
                <footnoteId id="F1"/>
            </transactionCoding>
            <transactionTimeliness>
                <value></value>
            </transactionTimeliness>
            <transactionAmounts>
                <transactionShares>
                    <value>7630</value>
                </transactionShares>
                <transactionPricePerShare>
                    <value>0.00</value>
                </transactionPricePerShare>
                <transactionAcquiredDisposedCode>
                    <value>D</value>
                </transactionAcquiredDisposedCode>
            </transactionAmounts>
            <exerciseDate>
                <value>2013-04-04</value>
            </exerciseDate>
            <expirationDate>
                <value>2017-04-03</value>
            </expirationDate>
            <underlyingSecurity>
                <underlyingSecurityTitle>
                    <value>Ordinary Shares, no par value</value>
                </underlyingSecurityTitle>
                <underlyingSecurityShares>
                    <value>7630</value>
                </underlyingSecurityShares>
            </underlyingSecurity>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>0</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F2"/>
                </natureOfOwnership>
            </ownershipNature>
        </derivativeTransaction>
    </derivativeTable>

    <footnotes>
        <footnote id="F1">Represents an exercise of a stock option scheduled to expire within a month of the date of exercise.  Mr. Hao continues to hold the ordinary shares received upon exercise of the stock option, as described in footnote 2 below.</footnote>
        <footnote id="F2">These securities are held by Mr. Hao for the benefit of certain entities affiliated with Silver Lake (Offshore) AIV GP IV, Ltd. (&quot;AIV GP IV&quot;) (&quot;Silver Lake&quot;). Mr. Hao serves as a director of the Issuer. Pursuant to Mr. Hao's arrangement with Silver Lake with respect to director compensation, upon the sale of these securities, the proceeds from such sale(s) are expected to be remitted to Silver Lake and/or its limited partners. Mr. Hao, through his role at Silver Lake and its affiliates, may be deemed to have an indirect interest in these securities. Mr. Hao is a director of AIV GP IV.</footnote>
        <footnote id="F3">These securities are directly held by SLP Argo I Ltd. (&quot;Argo I&quot;). Mr. Hao, as a director of Argo I and AIV GP IV, the sole general partner of Silver Lake Technology Associates IV Cayman, L.P. (&quot;SLTA IV Cayman&quot;), the sole general partner of Silver Lake Partners IV Cayman (AIV II), L.P., the sole shareholder of Argo I, may be deemed to be the indirect beneficial owner of the securities directly owned by Argo I.</footnote>
        <footnote id="F4">These securities are directly held by SLP Argo II Ltd. (&quot;Argo II&quot;). Mr. Hao, as a director of Argo II and AIV GP IV, the sole general partner of SLTA IV Cayman, the sole general partner of Silver Lake Technology Investors IV Cayman, L.P., the sole shareholder of Argo II, may be deemed to be the indirect beneficial owner of the securities directly owned by Argo II.</footnote>
        <footnote id="F5">These securities are held by Mr. Hao's family limited partnership.</footnote>
    </footnotes>

    <remarks>Pursuant to Rule 16a-1(a)(4) of the Exchange Act, this filing shall not be deemed an admission that the Reporting Person is a beneficial owner of all securities covered by this filing, and the Reporting Person disclaims beneficial ownership of these securities, except to the extent of his pecuniary interest therein, if any.</remarks>

    <ownerSignature>
        <signatureName>By: /s/ Karen M. King, by Karen M. King, Attorney-in-fact for Kenneth Y. Hao</signatureName>
        <signatureDate>2017-09-15</signatureDate>
    </ownerSignature>
</ownershipDocument>
