The Gers boss apologised after the Ibrox outfit were fined £250,000 for failing to disclose payments to players between 2000-2011.
But an independent commission appointed by the SPL rejected suggestions Rangers had fielded ineligible players or gained an unfair competitive advantage.
McCoist said: "I'm not trying to belittle the guilty verdicts that have been found on us. We accept them and we apologise for them.
"But in the grand scheme of things, the far bigger issue was the finger being pointed at us in terms of sporting integrity and trying to gain an unlawful advantage.
"In fact, cheating - which we felt was pretty out of order really.
"Thankfully, we have been totally vindicated and cleared in those cases."
Asked if Rangers were due an apology, McCoist added: "That might be the case but I wouldn't be holding my breath to be honest with you.
"Me, personally, I'm not looking for an apology from anybody.
"All we've wanted is the opportunity to move forward.
"It's been a black cloud hanging over the club for a while. It's now, in my opinion, dispersed and I want to move on."