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<?xml version="1.0" encoding="windows-1252"?> |
<ownershipDocument> |
| <schemaVersion> X0306 </schemaVersion> |
| <documentType> 4 </documentType> |
| <periodOfReport> 2020-06-15 </periodOfReport> |
| <notSubjectToSection16> 0 </notSubjectToSection16> |
| <issuer> |
| | <issuerCik> 0001441236 </issuerCik> |
| | <issuerName> Clearwater Paper Corp </issuerName> |
| | <issuerTradingSymbol> CLW </issuerTradingSymbol> |
| | </issuer> |
| <reportingOwner> |
| | <reportingOwnerId> |
| | | <rptOwnerCik> 0001814660 </rptOwnerCik> |
| | | <rptOwnerName> Shufelt Joanne P. </rptOwnerName> |
| | | </reportingOwnerId> |
| | <reportingOwnerAddress> |
| | | <rptOwnerStreet1> 601 W. RIVERSIDE AVE. </rptOwnerStreet1> |
| | | <rptOwnerStreet2> SUITE 1100 </rptOwnerStreet2> |
| | | <rptOwnerCity> SPOKANE </rptOwnerCity> |
| | | <rptOwnerState> WA </rptOwnerState> |
| | | <rptOwnerZipCode> 99201 </rptOwnerZipCode> |
| | | <rptOwnerStateDescription></rptOwnerStateDescription> |
| | | </reportingOwnerAddress> |
| | <reportingOwnerRelationship> |
| | | <isDirector> 0 </isDirector> |
| | | <isOfficer> 1 </isOfficer> |
| | | <isTenPercentOwner> 0 </isTenPercentOwner> |
| | | <isOther> 0 </isOther> |
| | | <officerTitle> SVP, GM, CPD </officerTitle> |
| | | </reportingOwnerRelationship> |
| | </reportingOwner> |
| <nonDerivativeTable> |
| | <nonDerivativeTransaction> |
| | | <securityTitle> |
| <value> Common Stock </value> |
| <footnoteId id="F1"/> |
| </securityTitle> |
| | | <transactionDate> |
| <value> 2020-06-15 </value> |
| </transactionDate> |
| | | <deemedExecutionDate></deemedExecutionDate> |
| | | <transactionCoding> |
| <transactionFormType> 4 </transactionFormType> |
| <transactionCode> A </transactionCode> |
| <equitySwapInvolved> 0 </equitySwapInvolved> |
| </transactionCoding> |
| | | <transactionTimeliness> |
| <value></value> |
| </transactionTimeliness> |
| | | <transactionAmounts> |
| <transactionShares> |
| <value> 2068 </value> |
| <footnoteId id="F2"/> |
| </transactionShares> |
| <transactionPricePerShare> |
| <value> 35.69 </value> |
| </transactionPricePerShare> |
| <transactionAcquiredDisposedCode> |
| <value> A </value> |
| </transactionAcquiredDisposedCode> |
| </transactionAmounts> |
| | | <postTransactionAmounts> |
| <sharesOwnedFollowingTransaction> |
| <value> 17299 </value> |
| </sharesOwnedFollowingTransaction> |
| </postTransactionAmounts> |
| | | <ownershipNature> |
| <directOrIndirectOwnership> |
| <value> D </value> |
| </directOrIndirectOwnership> |
| </ownershipNature> |
| | | </nonDerivativeTransaction> |
| | <nonDerivativeTransaction> |
| | | <securityTitle> |
| <value> Common Stock </value> |
| <footnoteId id="F1"/> |
| </securityTitle> |
| | | <transactionDate> |
| <value> 2020-06-15 </value> |
| </transactionDate> |
| | | <deemedExecutionDate></deemedExecutionDate> |
| | | <transactionCoding> |
| <transactionFormType> 4 </transactionFormType> |
| <transactionCode> A </transactionCode> |
| <equitySwapInvolved> 0 </equitySwapInvolved> |
| </transactionCoding> |
| | | <transactionTimeliness> |
| <value></value> |
| </transactionTimeliness> |
| | | <transactionAmounts> |
| <transactionShares> |
| <value> 6727 </value> |
| <footnoteId id="F3"/> |
| </transactionShares> |
| <transactionPricePerShare> |
| <value> 35.69 </value> |
| </transactionPricePerShare> |
| <transactionAcquiredDisposedCode> |
| <value> A </value> |
| </transactionAcquiredDisposedCode> |
| </transactionAmounts> |
| | | <postTransactionAmounts> |
| <sharesOwnedFollowingTransaction> |
| <value> 24026 </value> |
| </sharesOwnedFollowingTransaction> |
| </postTransactionAmounts> |
| | | <ownershipNature> |
| <directOrIndirectOwnership> |
| <value> D </value> |
| </directOrIndirectOwnership> |
| </ownershipNature> |
| | | </nonDerivativeTransaction> |
| | </nonDerivativeTable> |
| <footnotes> |
| | <footnote id="F1"> Represents award of restricted stock units ("RSUs"). RSUs may be settled only for shares of common stock on a one-for-one basis. </footnote> |
| | <footnote id="F2"> Represents award of RSUs that will vest 33%, 33%, 34% on June 15, 2021, 2022 and 2023, respectively, assuming continued employment. During the vesting period, an amount equal to the dividends that would have been paid on the RSUs had they been in the form of common stock will be converted into additional RSUs. </footnote> |
| | <footnote id="F3"> Represents award of RSUs that will vest on April 1, 2022, assuming continued employment. During the vesting period, an amount equal to the dividends that would have been paid on the RSUs had they been in the form of common stock will be converted into additional RSUs. </footnote> |
| | </footnotes> |
| <remarks></remarks> |
| <ownerSignature> |
| | <signatureName> /s/ Michael S. Gadd, Attorney-in-Fact </signatureName> |
| | <signatureDate> 2020-06-17 </signatureDate> |
| | </ownerSignature> |
| </ownershipDocument> |