Ideye, 26, joined West Brom in a sensational, club record £10m move from Dynamo Kiev last summer, but after just two goals in 14 appearances for the Baggies, his future is in doubt.
The Daily Mail reported earlier this month that North East rivals Newcastle and Sunderland were monitoring the Nigerian with a view to a possible move during this month's transfer window, and Pulis admitted that Ideye could be sold if the right offer comes in.
"I can't say he's staying," said Pulis. "If someone comes in and offers an enormous amount of money the club looks at it. That's the same with every player. Every club I've been at has worked that way. If something comes on the table you sit down and look at it, take a view of whether it's right for the club or not. That will be the same with Brown."
"He's got a cloud hanging over him at the moment. If we can lift that cloud and release him a little bit. English football, especially the Premier League, is different to football on the continent. It takes a while to get used to. I'm not just talking about Brown, lots of players. You have to give them time and assurance if they keep working hard it will come for them," he added.
Pulis seems willing to give Ideye a chance to shine, but if Newcastle, Sunderland or any other club make an offer, it appears that the Baggies will consider a deal - just six months into Ideye's stay at The Hawthorns.