Berahino's future is again under scrutiny with the January transfer window open, but Pulis insists any decision on whether the 22-year-old can leave the Hawthorns will be taken by Peace.
"Every player is for sale if the price is right and if the club deem it to be right. The chairman will be the one who controls that and the chairman will decide that," Pulis told reporters on Friday.
"It's the chairman's football club and financially he has always controlled it in a way that he has thought is the best way for West Brom."
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Berahino has scored four goals this season after netting 20 times in 2014-15.
The Baggies, who are 13th in the Premier League, travel to 12th-placed Southampton on Saturday.
They will be without midfielder James Morrison and defender Jonas Olsson is doubtful but they will welcome back striker Rickie Lambert.
(Reporting by Shravanth Vijayakumar in Bengaluru, editing by Ed Osmond)
