The 31-year-old striker has been asked to train by himself and to use changing facilities away from the first team.
Odemwingie has been angling for a move from the Hawthorns since January when he made that sensational dash to sign for QPR on deadline day but was refused entry into QPR’s training ground.
The Nigerian is the subject of a bid from new Premier League side Crystal Palace, though the valuation being mentioned does not match the amount that West Brom are asking for. The Nigerian was the highest goal scorer for the Baggies in the 2010/11 and 2011/12 seasons and he won the Player of the Month award on two occasions in his first season.
The striker will be hoping to revive a career that has been seriously blighted by crass utterances on Twitter and if he joins the Eagles as Crystal Palace are called, he may have the chance to fly again.