The 31-year-old has endured a fractious relationship with the club after attempting to force through a move to QPR on the final day of the January transfer window, only to be told he didn't have the Baggies' permission to commence talks.
Odemwingie claimed on Monday that West Brom are "trying to ruin my career" after being mainly named as a substitute of late, and continued his Twitter rant on Tuesday despite the club confirming they were dealing with the earlier incident internally.
"I see a free player," Odemwingie tweeted. "A player who buys out his contract soon. Or a retired player. Does he looks like he cares much ? They made him not to."
Odemwingie also suggested that his infamous failing attempt at forcing through a move to the Rs was not entirely his fault, and that West Brom should accept a share of the blame.
He continued. "A simple phone call to return back would have been enough for me to return and deal only with laughs about saying bye to teammates.
"Drove two hours to London. Spent hours there to drive back alone and arrive home 3am and still turn up at the training in the morning.
"Glad I respectfully thanked everyone before leaving. All could be simply avoided by clubs statement saying: it was a miscommunication.
"Instead I humbly took the blame on me and promised to comply with club rules. Manager says lets pls move on and forget. Yet I am not playing."
Odemwingie has 15 months remaining on his contract at the Hawthorns and, under article 17 of Fifa transfer regulations, will be able to pay a compensation figure - determined by wages and his transfer fee - to West Brom as he is over the age of 28.