Rangers fans have voiced their fury at the Light Blues hierarchy in recent weeks over their running of the club, and held a mass demonstration at the League One victory over Stenhousemuir last weekend.
As revealed in SportTimes yesterday, more protests are planned by disgruntled fans at the clash with Ayr United tomorrow.
But McCoist insists he is only focused on the football as the Gers bid for their eighth straight league win at Somerset Park.
He said: "There is obviously differing opinions and they are being made very vocal. The world is a different place now with emails and blogs and that kind of stuff.
"The topic is far more greater and widespread talked about than ever due to social media and things like that, which is totally understandable.
"I can understand all angles of the debate. I don't think it would do anybody really, at this moment in time, any good, for me to voice strong opinions on anything other than the football.
"I really want to leave boardroom matters to the board. I think I have more than done my fair share of that on behalf of the club, when we effectively didn't have a board. I would hope that you would respect my wishes."
Rangers this week announced their annual accounts, which showed a £14million loss for the last financial year and revealed McCoist's wage of £825,000.
The Ibrox boss has agreed to take a cut that will almost half his salary, but insists he has not been forced to do so after the state of the Gers' finances was laid bare.
He said: "There's a lot of talk about the accounts, understandably so, and things within the accounts.
"I've never been asked to take a wage cut. In fact, the first time I was asked about it was when one of you boys asked whether I was worried about the accounts.
"I worry like everybody else worries, but I didn't feel I had any reason to be worried.
"We were told we were in reasonable shape and this was to be expected. I was then asked if I would be willing to take a wage cut and I said absolutely. And that's where we are.
"We feel that where we are at the moment in terms of the club and the position in the league, by that I mean league status, it's just the right thing to do.
"We're not looking for any pats on the back because any Rangers supporter who cares for the club would do exactly the same.
"So hopefully, we will get something agreed in the very near future and we can move on."