The Nigerian international illustrated his wish to leave the Hawthorns on Friday by handing in a transfer request as he looked to force through a move to the club’s Premier League rivals.
Albion quickly rebuffed his demands leading to the 31-year-old to vent his frustration at the club via his Twitter account, for which he now faces heavy punishment.
West Brom’s acting sporting and technical director Richard Garlick revealed Rangers had made a second approach for Odemwingie, an improvement on the £2million offered at the start of January, but is adamant no one will be leaving the club before the transfer window closes on Thursday
“QPR have made a second, improved offer for Peter, which we have turned down,” he said.
“As we have repeatedly stated, we have no need or desire to sell our core players.”
Garlick also refused to disclose how the Baggies would reprimand the striker for his comments over the weekend, saying: “Since we turned down Peter’s transfer request, he has made his position clear in a statement to the media and via his personal Twitter account.
“This matter will be dealt with internally.”