The Nigeria international, 31, has been on Queens Park Rangers’ radar, with his demand to leave the Hawthorns believed to be related to the London club’s interest.
“Albion have this afternoon rejected a transfer request from Peter Odemwingie,” the club said in a statement. “The Baggies recently turned down an offer from QPR for the Nigerian international’s services and the club insist none of their core players are for sale.
“Peter is hugely popular with our supporters and it is disappointing that he has decided to hand in a transfer request,” technical director Richard Garlick said. “It was immediately turned down and has done nothing to change our stance during January.
“Peter is under contract until the summer of 2014 and we have no need or desire to sell our core players. We want to keep the squad intact to enable us to build on an encouraging first six months of the season.”
Odemwingie, born and raised in the Russian Federation but eligible to play for Nigeria through his father, hit double figures in his first two seasons at the Hawthorns but has been less prolific this campaign, with five goals in 18 Premier League appearances.
He has also fallen out with his national team, and was not included in the Super Eagles squad for the African Cup of Nations.
West Brom are eighth in the Premier League, while QPR are bottom, although they have enjoyed a revival in fortunes since the arrival of Harry Redknapp as boss this winter.