The Ibrox club have been in the grip of a bitter power struggle for several months, with a group of influential shareholders seeking change in the boardroom.
Former director Paul Murray and former chairman Malcolm Murray - backed by Scottish businessman Jim McColl - are hoping to win places on the board at the AGM.
Paul Murray successfully delayed the original meeting, which was planned for October 24, after attempts by the board to block the election of potential new directors, with the directorships motions now to be included when the AGM is finally held.
Reports suggest the highly-anticipated meeting could take place on December 18, although the date has not yet been confirmed to the Stock Exchange.
McCoist said: "Like any other Rangers supporter and, indeed, staff member, we would just hope that we can move on.
"We know we have a process for the AGM, which will take care of itself, and after that all we can hope is that the club can move on in a forward direction. I'm sure that will be the case.
"I'm not sure whether that date has been confirmed but, if that's when it is, everybody can look forward to it.
"Up until that time, we will continue to do what we have attempted to do and that's concentrate on the football and give the fans what they want.
"The fans want to enjoy their football, that's what they buy their season tickets for.
"They want to see us winning and scoring goals and playing well. It's our job to give them a team that can do that and we will do our best to continue to do that. The AGM will look after itself whenever it is."
Rangers were paired with Falkirk in cup competition for the third year running when the draw for the fourth round of the William Hill Scottish Cup took place on Tuesday.
The Bairns claimed a 3-2 victory in the League Cup in 2011, before Rangers avenged the defeat with a 3-0 win in the same competition last season, as well as claiming a victory in the Ramsdens Cup.
Reflecting on the draw, McCoist said: "I always say the one thing you hope for is a home draw and we didn't get that.
"We played Falkirk last year in the League Cup as well.
"We would have preferred a home draw but it's a game we will really look forward to."
McCoist claimed he was not disappointed to miss out on top-flight opposition, adding: "I would have taken home games against lower-league opposition all the way to be honest.
"It's safe to say the longer you go on in a competition, it would be the norm to expect to meet teams from higher up in the top league.
"That will hopefully be the case if we get through a difficult tie against Falkirk.
"We know how difficult it's going to be but we feel we are in better shape this year than we were last year so we will look forward to it."