Manchester City would be interested in signing Raheem Sterling if he were to become available, according to Sky sources.
Tottenham have completed a deal for Cologne defender Kevin Wimmer and he will join them in June, Sky sources understand.
Odemwingie was disciplined after releasing a series of social networking outbursts against the Baggies in January after they rejected his transfer request.
The 31-year-old launched another series of attacks after driving to Loftus Road without permission on transfer deadline day only for the move to QPR to fall through.
And now the Nigerian international has hit out at being omitted from the starting line-up for the past four games.
Odemwingie also claimed he would have taken a pay cut to move to QPR and that his commitment to Albion was still being questioned when he has taken injections to play when not fully fit.
While the majority of Odemwingie's tweets have since been deleted, an Albion spokesman said: "The club are aware of what Peter has said and we will deal with it internally."
West Brom also confirmed that social networking activity is governed by the club's disciplinary code of conduct.
Odemwingie tweeted: "Keeping me on the bench now is worst than what they did to me on the 31st (of January).
"New advisors told me to say its all my fault cos its better for me.
"A normal team will never let a player who acted like I did come back. Why keep me still.
"If they like they shouldn't even give me 10 mins to play.
"Threatening to ruin my career? Career I closed already last summer? No harm to me."
Odemwingie added: "Want to treat me like an average player. The abuse and praise I get is average? So get some extra from me too.
"I am not at peace. Took steroid injections numerous times when team needed me back quick. Commitment still in doubt.
"More reasons? Should still stay loyal? Even if it sounds childish. It's a lot. People I should trust normally hold meetings.
"Before that I was a proper gentleman in the team and trusted everyone. I tried to leave quietly. Didn't work."
As for his behaviour on January 31, Odemwingie said: "Was ready to earn less to make it happen. Forcing a move is really when u want to leave 4 free.
"Drive was lunancy? Missing in training section that day was also lunancy?
"They forget to complain about that though cos they knew where I was.
"Former Albion sporing director (Dan Ashworth) in the presence of the new (Richard Garlick) and manager (Steve Clarke) apologised to me in private. Publicly not good?"