The Light Blues were terrific as they beat SPL leaders Motherwell 2-0 in the League Cup in front of almost 30,000 roaring supporters at Ibrox on Wednesday.
But they’re now preparing to go to the opposite end of the spectrum as the get set to play in front of a crowd a tenth of the size at tiny Mosset Park.
McCoist knows his players haven’t always delivered this season and they have struggled when they’ve gone on the road in particular.
But having seen the team turn in its best performance of the campaign two days ago, he wants it to build on that rather than falter again.
McCoist said: “The venue we’re playing at will be the biggest change for everybody. We’re doing slightly better in our home games and we had another unbelievable crowd in midweek.
“With the game being live on television as well, I thought the players arguably put in their best performance of the season.
“Now we’re going to the other end of the scale and that’s not a criticism. I mean that we’ve just played the team at the top of the SPL and now we’re going to a Highland League team.
“The most important thing from our point of view is that the attitude has to be exactly the same.
“We’re used to going to different venues now and that’s fine but once the first whistle goes, you don’t look about to see where you are playing.
“Our approach should be exactly the same whether we’re playing a team from the SPL, the SFL or the Highland League.
“You can’t play all your games in the top stadia around the world and once the referee blows his first whistle, that’s it. You’ve to get on with things.
“In many ways, it will be the same as an SFL3 game as we look upon them, particularly away from home, as being cup ties.
“We certainly shouldn’t be experiencing anything different to what we’ve already experienced in our away Third Division games. Our mental approach has to be spot on.”
McCoist, meanwhile, has dismissed suggestions Rangers are one of the favourites to win this season’s Scottish Cup.
Their run to the last eight of the League Cup will have undoubtedly fuelled that belief amongst some but the manager disagrees.
McCoist added: “I wouldn’t say that. I got a bit of stick in midweek for saying Motherwell were favourites to beat us but I genuinely believed that.
“I wasn’t playing any games or kidding on and there have to be bigger favourites to win this competition too than ourselves.
“As I keep saying, we’re a team in transition, we’re enjoying where we are at the moment and we’ll hopefully keep progressing to where we belong.
“I don’t take too much notice of favourites and underdogs though because as we all know, favourites can be beaten.”