Former Norwich City striker Iwan Roberts said fans must be realistic about who the Championship club may be able to appoint as their new head coach.
The Canaries have begun the search for a replacement for Liam Manning, who was sacked in the wake of Saturday's 2-1 home defeat by Leicester City.
"There's been a lot of names mentioned - Brendan Rodgers, Gary O'Neil, Michael Carrick [among them] - I can't see any of those three entertaining it," Roberts told BBC Radio Norfolk's Canary Call.
"Gary O'Neil turned down the Wolves job, they're bottom of the Premier League, but it's a far more attractive job than Norwich.