The Ibrox manager has seen his team's stock rise after they scored 13 goals in their first three SPFL League One matches and conceded just one.
Now McCoist is desperate for the continuing off-field turmoil to be sorted out quickly. He said: "Being a fan, an ex-player and manager, I just want what is best for the club. Everyone is reaching the stage now where they are saying, 'Let's get this sorted and move on'.
"I am sure that sentiment would be echoed a thousand times over by the supporters. I am very hopeful it can be."
McCoist was speaking amid the ongoing controversy surrounding the demand by a group of shareholders for the removal of chief executive Craig Mather, non-executive director Bryan Smart and financial director Brian Stockbridge.
They want former director Paul Murray and ex-PricewaterhouseCoopers executive chairman Frank Blin appointed to the board. But the current directors are opposing the move and the stand-off is set to be decided at an EGM later this year.
McCoist added: "I have had my eyes opened to many things in the last year; administration, liquidation, boardroom struggles, shares and all that kind of stuff.
"Nobody said it was going to be easy, that is for sure.
"But day-to-day football is the most important thing for a manager and it still is.
"I am judged on results and performances. I am generally optimistic and we have to remain optimistic we can get it sorted off the park. What happens on the park is obviously important.
"But we need to get it sorted off the park. I am still incredibly hopeful that will be the case."
Meanwhile, McCoist has revealed that he would like to see Rangers legend Sandy Jardine back working at the Ibrox club in the near future.
The 1972 European Cup-Winners' Cup winner has been battling cancer since November last year but is making a good recovery.
The Gers manager, whose team take on Berwick Rangers in the Ramsdens Cup at Ibrox tonight, has revealed he hopes the former full-back returns to work.
He said: "In an ideal world he would come back and do the job he was doing full-time. It would be fantastic and would cheer everyone up no end.
"Sandy is the one who will make that decision. He will sit down with Craig Mather. But I know he is quite keen to come back in some capacity.
"It is impossible to underestimate the value he had when we were going through administration. He was a tower of strength."
On tonight's game, McCoist said: "We want to go all the way. It's no different from any other competition.
"It's not ideal because of the circumstances in terms of the personnel we are allowed to pick from."