The 29-year-old only joined Rangers during the summer but has found starting opportunities at Loftus Road limited.
However, the England international has insisted that he wants to fight for his place with the R's.
"It's all just been rumours. I don't want to go anywhere, I've got a lot of belief in myself and I want to be successful at QPR," Bothroyd told London24.com.
"New signings don't bother me - to be a successful team you have to have a big enough squad. You have to welcome it, and raise your own game.
"There's always going to be criticism and I accept that, but I believe in myself. Some of the best strikers in the world go through bad patches - that's football."
Bothroyd signed for QPR on a free transfer from Cardiff City.