After the end of the Gary Johnson era at Ashton Gate, some big-names were linked with the vacant manager's job but caretaker boss Keith Millen has steadied the ship and guided City into a comfortable mid-table berth.
"I think he (Millen) could definitely do a good job," defender Liam Fontaine told the Bristol Evening Post.
"It's nothing to do with the players and it's down to the chairman at the end of the day. It's not our decision to make.
"But Milly has tried to get the good feeling back into the club again and we have responded well to him. He has put confidence back into the team."
Forest make the journey to Bristol on Saturday looking to improve on their poor away form before what looks increasingly like an end of season shoot-out in the play-offs.
Two late goals were the order of the day in the return fixture in November, Danny Haynes rescuing a point for the visitors at the City Ground after Wes Morgan's strike.