Reports this week suggested a rift between chief executive Charles Green and chairman Malcolm Murray.
Stock market rules prevent McCoist from going into details of events behind the scenes at Ibrox.
But he is confident everyone involved in the running of Rangers has the best interests of the club at heart.
McCoist said: "Having been to certainly one board meeting, where I've met all the members of the board, there is absolutely no doubt in my mind that every member of the board is going in the same direction and has the same wishes and hopes and desires and plans for the football club.
"There is no doubt about that.
"Within any boardroom and any business, there will be differences of opinion. Of course there is. That would only be healthy in my opinion.
"I can reassure every Rangers fan that everybody within our board is going in the same direction in terms of wanting the club to move forward."