The 31-year-old striker has lashed out at the club for their treatment of him in recent weeks after being confined to the bench against Stoke City on Saturday
The forward has endured a fractious relationship with West Brom 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 has since claimed that West Brom are "trying to ruin my career" after being mainly named as a substitute for Steve Clarke's side, and despite promptly deleting the majority of the tweets from his account, the club have acknowledged the forward's latest outburst will be dealt with.
A West Brom spokesperson said: "The club are aware of what Peter has said and we will deal with it internally."
Odemwingie has fallen down the pecking order behind Shane Long and on-loan Chelsea striker Romelu Lukaku this season, but the 31-year-old has blasted the way he has been treated by West Brom following the incident on deadline day.
"New advisers told me to take say it's all my fault cos its better for me. Keeping me on the bench now is worse than what they did on the 31st," he posted on Twitter.
"Drive was lunacy? Missing in the training section that day also lunacy? They forgot to complain about that though cos they knew were I was.
"Things have almost got back to normal till Peter spoilt it again. What's normal? We see things differently obviously."