The majority of the crowd who attended the 3-0 win over Ayr United at Ibrox displayed red cards on the 18th and 72nd minutes of the match in what was a pre-planned protest organised by fans' group Sons of Struth.
The Scottish League One clash was the last home game ahead of the club's highly anticipated annual general meeting on December 19.
The AGM could see a number of changes take place within the Ibrox boardroom, with a group of shareholders aiming for election, while calling for the removal of current directors.
McCoist said: "I said yesterday that the fans, who have been fantastic, would give the team their continued support. We feel they are doing that.
"What they've got to say, and how they feel, they are well within their rights to do that.
"But I'd rather not comment on it at all, I would just comment on the game."
There are suggestions that some fans could boycott ticket sales and club merchandise if the current board survives the AGM.
Asked if such a scenario would be cause for concern, McCoist added: "If it arises, it possibly would be a concern but we would have to cross that bridge if we came to it."
Rangers secured the three points thanks to first-half goals from Jon Daly and Fraser Aird before Bilel Mohsni put the match beyond Ayr with five minutes to go.
McCoist said: "The first half was fairly comfortable and we scored a couple of good goals.
"I just felt we didn't raise the tempo of the game in the second half at all. It stopped us from killing off the game until later on when we got the third goal.
"But it's difficult to be overly critical because it's another great result."
Rangers have now won 20 games in a row and still boast a 100 per cent league record this season.
McCoist added: "There's always the potential for slip-ups but we will do our best to make sure complacency doesn't set in.
"As well as the two goals, I thought we had some good chances in the first half as well to even put the game out of reach then.
"We would guard very closely against any complacency. There has been a lot said about where we are but, in terms of winning games, they have put together a record they should quite rightly be proud of.
"We will do everything we can to keep it going."
Ayr United boss Mark Roberts said: "The guys maybe gave them too much respect in the first half.
"We had a few teething problems but we got to grips with the game in the second half and we passed the ball better and had a bit more belief.
"I think the third goal was a bit harsh on us but Rangers are flying and will probably win most of their games.
"We were just disappointed with the three goals."
Somers later issued a brief response to the four candidates.
In a statement issued to Press Association Sport, the Rangers chairman said: "This further statement from the requisitioners is noted.
"It is clear that no amount of reasoned argument will stop their relentlessly unprofessional campaign being staged through the media.
"It is not in the interests of Rangers Football Club to conduct a debate in this manner as the requisitioners appear to wish to do."