The 31-year-old forward has been looking for a route out of The Hawthorns for some time, with a deadline day fiasco in January seeing him fail to secure a switch to Queens Park Rangers.
With there little chance of him being offered a clean slate with the Baggies, it is expected that the Nigeria international will be on the move this summer.
As a proven goalscorer at the highest level, it comes as no surprise to find that numerous clubs are readying an approach for his services.
It is understood that West Ham United, Hull City, Sunderland and Fulham would all welcome Odemwingie into their ranks - joining Crystal Palace in the chase for his services.
He still has a year left to run on his contract at West Brom, but reports suggest that a bid of around £1.5million could be enough to lure the Baggies to the negotiating table.