The 30-year-old signed a three-year deal at Loftus Road last summer but found himself largely out of favour after falling out with manager Harry Redknapp.
After refusing to take his place among the substitutes for a fixture against Fulham in December, Redknapp hinted at the time that he would be sold in January.
|25/1||QPR are 25/1 with Bet365 to be relegated from the Championship
"I've fined him two weeks' wages, which is £130,000, which isn't bad for two weeks' work, is it? How do I handle a player like that? Maybe he'll find out in January."
His wages of £65,000 per week made him a likely candidate to leave QPR following their relegation to the Championship.
Reported high earners such as Djibril Cisse and Chris Samba have also left the club as they look to cut their cloth accordingly for the second tier.
Bosingwa, who scored once in 23 games for QPR, is now expected to complete a move to Trabzonspor after being pictured arriving in Turkey for a medical with the Black Sea club.