Rangers fans created a wall of noise at last night’s third round tie against Motherwell and it was reminiscent of a European night as the Steelmen were beaten 2-0.
Derby rivals Celtic are obviously the team which stands out to many supporters as a potential opponent after they beat Raith Rovers on Tuesday.
But Aberdeen, Dundee United, Hearts, Inverness, St Johnstone and St Mirren are also lying in wait after progressing from their respective ties.
Whoever Gers get, the likelihood is they will be underdogs given their Third Division status and their indifferent league form so far this term.
From that point of view, manager McCoist would rather have a home tie at an arena where he feels his men can be a match for anyone.
He said: “An Old Firm game is completely different and it would certainly create a massive, massive amount of interest.
“It’s not that they don’t normally but a match this season between us certainly would. If you could just give me a home tie against anybody though, I would take that.
“You obviously can’t pick and choose but if you could offer me a game at Ibrox, I would definitely take it.”
McCoist was asked after yesterday’s match if the result against Motherwell justified his decision this summer to sign SPL-standard players to play in the lower leagues.
While he was happy some of his big names played a part in a memorable victory, he maintains winning promotion from the bottom tier of the SFL is still the priority in 2012/13.
McCoist added: “I just felt we wanted to get a team together that can get us out of SFL3. It’s not rocket science but the better players you sign, the better chance you have.
“I know they might not be used to playing in the Third Division but good players can play football and we’ve signed good players.
“We’ve got some of the best players who were going about in the SPL, whether it was Ian Black, Dean Shiels or whoever.
“Because of where we are, we’re now getting an opportunity to blend them with some of the younger talent we’ve got coming through from Murray Park.
“That is exciting but our priority is and always has been to get out of the Third Division this season.”