The Ibrox manager was speaking following reports this week that suggested a rift between chief executive Charles Green and chairman Malcolm Murray.
It is believed Murray and Green have buried the hatchet in order to protect the interests of the business, since City investors had warned that leaks about internal unrest would rock the share price of the club.
And McCoist has moved to allay fears among the Rangers support about further problems.
"The great thing for me is that I'm not allowed to talk about it because of Stock Exchange rules," he said. "I'm not allowed to talk about boardroom goings-on which, I won't lie to you, suits me.
"But at the same time I would actively tell you and get the message out that I've been to a board meeting in the last three or four weeks and it was absolutely very, very positive and healthy.
"Like any boardroom, you would expect differences of opinion. But I can reassure everybody, Rangers fans certainly, that everybody to a man within that boardroom has the same objective and that's moving Rangers forward."
The club desperately needs a period of stability as it tries to recover from a turbulent year.
Having steadied the ship, Rangers are in a process of rebuilding after beginning life as a new club in the Irn-Bru Third Division.
It is a long slog to get back to where they were and McCoist is well aware that in order for that objective to be achieved, there must be harmony behind the scenes.
"Crazy as it may seem and I am tempting fate, I can see that happening now," said McCoist when quizzed on the need for a united boardroom and club.
"I think things have calmed down. The fact that I've come in here and that the first question was about football, in itself would tell you that it is calming down a little bit because by far and away the vast, vast majority of press conferences that we've had in the past year, we've got round to football, but now we are talking about football which is great.
"There will obviously be issues that come up during the week that will have to be addressed, but I do believe things are calming down and there is certainly, certainly more stability within the club than there's been in the last 12 months, longer than that actually to tell you the truth.
"That is obviously encouraging, but we don't want to get carried away because there is still an awful lot to do."