Odemwingie attempted to engineer a move to Queens Park Rangers in January, but the move never got off the ground.
The 31-year-old, who still has 15 months remaining on his Albion contract, appears determined to quit The Hawthorns as quickly as possible.
And Odemwingie is now hinting at ending his contract by paying compensation to West Brom.
Odemwingie tweeted: "I see a free player. A player who buys out his contract soon. Or a retired player. Does he look like he cares much? They made him not to."