A pre-planned demonstration resulted in chants of "sack the board" on the 18th and 72nd minutes as banners were held aloft in protest at current Ibrox directors.
Events in the stands clearly did not have a detrimental effect on the Rangers players, as they romped to an emphatic 8-0 win over Stenhousemuir.
McCoist refused to be drawn on off-field issues, choosing instead to praise fans for their ongoing support of his players.
He said: "All I would say is, we would just ask the fans again to keep on giving the team their continued support.
"I keep saying it, and I make no apology for saying it again, in the last couple of years the fans have kept the club going.
"Without doubt, they have been absolutely fantastic and their support of the team is all we can ask for.
"There were obviously issues today, which I'm certainly not going to get involved in.
"Particularly after the result today, it would be wrong of me.
"The players and the fans deserve all the credit for that performance."
Jon Daly helped himself to four goals as Rangers maintained their 100 per cent start to the Scottish League One season, with Andy Little, Lee Wallace, David Templeton and Bilel Mohsni also on the score-sheet.
"It was fantastic," said McCoist, when asked about Daly's display.
"I've been singing the big fellow's praises since he came to the club.
"On and off the park, he is a real gentleman, a leader.
"We've got good older pros now, which is really important in the restructuring and rebuilding of the club.
"We always knew he would score goals and he is certainly something different, something we have not had in that particular position.
"I believe, if we get the ball into the box, he will score goals, as he proved today.
"He will also score a good quality of goals as well so I'm delighted with the big fellow."
The match also saw the return of Ian Black from a Scottish Football Association suspension for breaching gambling rules.
The midfielder was banned for three games - with a further seven matches suspended until the end of the season - after placing bets on football matches, including three occasions when he bet against his own team.
McCoist said: "Blacky was terrific and it was great to see the reaction he got.
"Our fans are very intelligent, they know he has been punished, they know he made a mistake and they want to support him now, which I thought was terrific.
"I had no hesitation at all in putting him back in and it was the right decision.
"He has been terrific for us all season and he just continued where he left off."
Rangers sit five points clear at the top of the table, with 32 goals, and Stenhousemuir boss Martyn Corrigan believes McCoist's men would be good enough to challenge in the top flight.
Asked if any team will take points off the Light Blues this season, he said: "I think it will be difficult.
"Let's be honest, if that Rangers team was sitting in the Premiership, they would be up there.
"It was a sore one to take. I think for one or two of the players, the occasion was just too much for them.
"I know the players are better than that and it's a learning curve for them."