The England under-21 striker had threatened he would never play for the club after failing to secure a last-minute transfer to Tottenham Hotspur.
However, Berahino has still been included in Pulis' Premier League squad and is expected to return to training having been given an extra period of leave.
Berahino tweeted he would not play for the Midlands outfit again under chairman Jeremy peace.
"I think his tweet was aimed at the chair-man (Jeremy peace) more than the play-ers, management, staff, supporters of the club" Pulis was quoted as saying by The Daily Mail.
"His gripe is with Jeremy - as far as I'm concerned, he will play for west Brom again" the 57 years old manager said.