The Third Division club and some of their fans have called for a boycott of the fixture - although Rangers supporters have purchased tickets for the clash.
McCoist said: "There has been a lot of stuff written and a lot of stuff said. I think now is the time to actually take the sting out of the whole situation to be honest.
"It's going to be a little bit different because the club have taken the stance not to take any tickets for the game.
"That stance has been made and hopefully it's just a one-off and we can move on. It's a cup game that's important to both clubs and both clubs want to win. It's no more than that.
Meanwhile, McCoist expressed his relief that none of his squad were lured away in the January transfer window.
"The most important thing from my point of view in this transfer window was that we didn't have any business," said McCoist.
"I was delighted that didn't have any business because if we had it would only have been one way so thankfully that hasn't been the case."