The Pittodrie club have begun the search for their new manager, with former Celtic boss Gordon Strachan already installed by the bookmakers as the favourite to replace McGhee.
The club confirmed on Wednesday night they had parted company with McGhee, along with assistants Colin Meldrum and Scott Leitch, after a sixth straight league defeat at Kilmarnock on Saturday left the Dons joint bottom of the Clydesdale Bank Premier League.
Aberdeen Supporters Trust spokesman Jeremy Wood said: "The key thing now, whether it's an interim arrangement or a permanent appointment, is getting someone in who will bring stability to the club, get results and get us away from the bottom of the table.
"What the fans will be concerned about now is landing one of the usual suspects which are always bandied about.
"The likes of John Hughes and Terry Butcher would not be popular choices. More popular would be someone like Jocky Scott, even in a mentoring role.
"I wouldn't say he is top choice but the fans will be struggling to get their heads around who is available and who would want the job. There are not a lot of candidates.
"Derek McInnes has done a good job at St Johnstone and Billy Stark was a popular player here in the 1980s, who has done okay with the Scotland under-21s, so they could be candidates."