The former Doncaster striker, who is 33, told BBC Radio Leeds: "I don't know whether I'm going to be up front on my own or in a two.
"The manager says he has options but I have played on my own at Doncaster."
Price, who knows Bradford boss Peter Taylor from his time at Hull City, said the move came about quickly.
"Surprisingly I didn't really know anyone at the club, I've gone in like the new kid at school," Price said.
"I've kept my head down and have asked where the spare peg is. I've just tried to mingle in with the boys.
"It's all new to me but I do know the manager and the coach [Wayne Jacobs] from Hull too."
Source: BBC Sport