The striker handed in a transfer request on Friday, which was immediately rejected.
Sporting & technical director (designate) Richard Garlick said: "QPR have made a second, improved offer for Peter, which we have turned down.
"As we have repeatedly stated, we have no need or desire to sell our core players.
"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."