The England cap has been linked with a switch away from Loftus Road after struggling to nail down a regular place in the side since arriving on a free transfer from Cardiff last summer.
New Rangers boss Mark Hughes is thought to be in the market for striking reinforcements and, with Brazilian Henrique set to arrive from Sao Paulo, it could push Bothroyd further down the pecking order.
However, Bothroyd is determined to stay and fight for his place, and he has backed Hughes to turn things around at Loftus Road.
"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. It has been frustrating for me, I scored 20 goals last year but I haven't reached that
form this season.
"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.
"It can be difficult in your first season, I think a lot of strikers before me have discovered that. Look at Fernando Torres and Andy Carroll this season.
"I've worked with Mark Hughes before and he's a terrific manager. He demands a lot, the players know what he wants and they give it to him."