The William Hill Scottish Cup tie is set to be played in unusual circumstances after Rangers opted against taking a ticket allocation for the visit. The club took the decision after fans groups called for a boycott of the first away match against Clydesdale Bank Premier League opposition since the Light Blues were denied entry to the top flight.
McCoist, who hopes the situation is a one-off, 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. Jackie (McNamara, Dundee United manager) is a great lad. I wished him all the best in his job and we'll shake hands before the game."
He continued: "All it is, is a cup tie that both teams want to win. 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.
"People are probably reading a lot more into it and wanting to build a lot more out of it than they should. It's a cup game that's important to both clubs and both clubs want to win. It's no more than that.
"I do appreciate there will be an edge to the game but we all have a duty and a responsibility to do our best for our clubs and, indeed, behave ourselves. That will hopefully be the case."
McCoist has praised fans on many occasions this season for the impressive backing they have shown to Rangers in the Irn-Bru Third Division. He admits a lack of support against United will make the task tougher, but believes his side can still triumph in the fifth-round tie.
He said: "It's not an ideal situation, of course it's not. We would rather take what is a tremendous away support.
"If they followed us to Elgin, Berwick, Peterhead and Forres, I think there is every chance they would have followed us to Dundee as well. But circumstances have dictated that we haven't taken a ticket allocation.
"It's not ideal and it will make it more difficult. That said, I've played in away games myself where we haven't taken any support which has worked out reasonably well for us. I'm keeping my fingers crossed that will be the case."