Hoyer, set to hit free agency on Tuesday, told USA Today's Jim Corbett on Thursday he's looking forward to a new chance on the open market.
"It's good for both sides to get a fresh start and go our separate ways," Hoyer said. "Being from here, I'll always root for the Browns. I know I'm going to be continuing my football career somewhere."
The Northeast Ohio native has said he wants a chance to start in 2015 and believes his record in Cleveland shows his worth. Hoyer also understands it's a business and he doesn't hold a grudge against the Browns for choosing to go with McCown.
Hoyer said he's looking forward to free agency and not fretting on where he lands.
"I look forward to helping whatever team get better and go to the playoffs," Hoyer said. "If you're in the right situation, believe in yourself, nothing will hold you back."