The 31-year-old striker had been a target of QPR throughout January and had repeatedly voiced his displeasure at not being allowed to leave.
However, when he drove to London and addressed a media scrum talking about a move to Rangers, it appeared a deal was on the table.
But Albion quickly released a statement saying Odemwingie was there without permission and QPR said the same, saying they had stopped him from getting into their Loftus Road ground.
As a result, a deal was not done and chairman Jeremy Peace said the matter had become a point of principle, warning Odemwingie to get his head around seeing out the last 18 months of his contract at the Hawthorns.
"Peter has acted wholly unprofessionally. He must now accept the fact he remains under contract for a further 18 months and has to focus on his Albion commitments," added Peace.