Media reports have suggested the new manager is prepared to sacrifice Berahino and use the funds from a 20 million pounds ($30.65 million) transfer to shore up his new club's fight for Premier League survival.
However, after seeing the player shine in the 7-0 drubbing of minor league Gateshead in the FA Cup third round, Pulis told reporters: "Saido Berahino is a very talented boy.
"I look forward to working with him as a player for however long I am here as manager."
Berahino's moods have been of concern at The Hawthorns in the past and he did not even celebrate his goals against Gateshead.
Pulis said: "There is always going to be transfer speculation and you can see why. He has great pace, great balance and scores goals.
"When I came here the chairman had not received any offer for him and we will try our damnedest to try and improve him.
"He can score a goal and he looks as though he's got the potential to be a good player."
West Brom are fourth from bottom in the league.
(Writing by Ian Chadband, editing by Tony Jimenez)
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