However, Pulis insists Berahino will play for West Brom again, although he accepts he will have to work hard to win over both team-mates and fans. The player's feud with Peace, though, may rumble on.
"His gripe is with Jeremy - as far as I'm concerned, he will play for West Brom again," Pulis told the Daily Mail.
"I don't think he will talk to Jeremy. The problem is that he thinks he is being used.
"If you look at the club, Jeremy has sold players when it has suited him. Look at Shane Long, he sold him (to Hull last January) at a time when the club was left without a recognised forward. I think Saido thinks (Peace) is just looking at finances all the time.
"Saido's problem has been how he he's gone about it. I spoke to Saido and told him not to get involved in anything else but football but again, unfortunately, he didn't listen. By handing in a transfer request, he only antagonised the whole situation.
"Respect has to be earned and Saido has to learn that lesson. West Brom have nurtured Saido's career for over a decade, they deserve the utmost respect and at times unwillingly he has shown them little. He has to grow up and wise up to the fact that people at West Brom have supported him right from the beginning of his career.
"It will be difficult to integrate Saido into this group. His attitude will be questioned. The supporters will also be looking for a player who wears their badge with commitment and honesty, they will want to see Saido showing the respect they deserve."
Berahino scored 14 Premier League goals, and 20 in all competitions, last season but has played just twice so far during the current campaign, without finding the back of the net.
Pulis has not selected the striker since the goalless draw at Watford on August 15 due to concerns over his state of mind.
Berahino earned his first call-up to the senior England squad in November for games against Slovenia and Scotland.
West Brom resume league action against Southampton at The Hawthorns on Saturday.
