Away supporters raised red cards and chanted against the club's board during both halves of the 1-1 draw at East End Park, which sealed an undefeated Scottish League One season for the visitors.
Dean Shiels' goal put Rangers in front just 34 seconds into the second half but teenage defender Lewis Martin headed home an equaliser for Dunfermline, who had made 11 changes to their line-up against the champions.
"I am just hopeful that can all get sorted out," McCoist said after the match. "Obviously the fans are airing their views and their opinions.
"I desperately don't want to get involved with it and all the parties involved are quite happy for me not to get involved with it and concentrate on the football. That is exactly what I plan to do."
Despite dropping two surprise points as the season drew to a close, McCoist was eager to reflect on what had been achieved over the course of the whole season, with his side finishing with a record of 33 wins and three draws from their 36 games.
"We were fortunate that we had the unbeaten run to go for, it has kept us going until the end," he said.
"At the same time, particularly in the last seven or eight games, we were playing against teams that had everything to play for which ensured they were proper games.
"There is no doubt about it that a psychological element does come into it when you have won the league so early and you still have to go out there and put on a performance.
"But you are just very hopeful that your professional attitude overcomes any lethargy or mental slackness."
The 51-year-old admitted his players were slow to get going against a young Dunfermline side but thought the result could have been different if Nicky Law's goal had not been ruled out for offside with the score at 1-0.
McCoist continued: "I thought we switched off a little bit in the first half to be honest. We started a lot better in the second half and got an early goal.
"If I was wanting to have a right moan I would say the corner they scored from was a goal kick, our disallowed header from Law was onside and Jon Daly could have had a penalty.
"But that's just me having a moan for 30 seconds and I don't think anyone deserves to hear me moan because the players have sealed a fantastic achievement."