Peacock had been linked with a loan move, but Tinnion insists he has not spoken to the former Mansfield player.
"It's a no," Tinnion told PA Sport. "We've had no conversation with that player and he's not a name that I've had on any of my lists."
Meanwhile, City forward Dave Cotterill scored his first goal for Wales Under 21s in their 3-2 defeat in Poland.