The Jambos learned on Thursday they had been spared financial punishment for suffering an insolvency event but were banned from registering players between now and February.
Rangers were hit with a fine and a one-year transfer ban after calling in the administrators in February 2012 before being consigned to liquidation.
Light Blues chief executive Craig Mather on Thursday night demanded answers from the SFA over the differing sanctions.
Speaking on Friday, McCoist said: "I would echo Craig's statement which is effectively looking for clarification on the issue.
"I will be honest with you, I don't really know the full situation. I know we were fined £50,000 and I think that was for going into administration.
"If that's the case, you would find it strange that it hasn't happened to other clubs.
"I don't want that - far from it. I would rather we had never been fined £50,000 the same as the rest of the clubs.
"I would wait to hear what the governing body had to say about it because I would have to say, from our point of view, and the supporters' point of view, it needs to be clarified."