The Denmark striker only joined Barca last month from Leganes as an emergency replacement signing.
However, Sport says the board have agreed to listen to offers for Braithwaite starting at the €18m they paid to meet the buyout clause in his Leganes deal.
Barca are confident of getting a good price for Braithwaite, knowing Leganes resisted a raft of offers for the centre-forward during the January market.
Everton and West Ham are still interested in the Danish striker, though the coronavirus crisis has now placed everything in limbo until they know how the club economy will look for this summer.
Barca's board, meanwhile, would be willing to keep Braithwaite if the right buyer cannot be found, with coach Quique Setien happy to work with the player.
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