Steven Naismith will serve an immediate two-match ban following Saturday's incident involving Dunfermline's Austin McCann after Rangers accepted the Scottish Football Association's fixed suspension, the club have confirmed.
Naismith was retrospectively punished after television footage appeared to show him catching Austin McCann on the face with an elbow during Saturday's 4-0 win over Dunfermline.
Naismith - who went on to score two goals in the Clydesdale Bank Premier League victory at East End Park - will miss the game against Kilmarnock and the visit of Hibernian at the weekend.
Naismith becomes the first player to be tried under the SFA's new Fast Track Proceedings.
Speaking on Monday, McCoist was asked about the importance of all clubs being treated equally when cases are being looked at.
He said: ''We are talking about fairness here, that's all everybody is asking for. Every club in the country would be asking for fairness and that we are all treated the exact same.''
The Rangers boss backed the changes in the football governing body's disciplinary procedures, adding: ''It's a great idea, it helps everybody and gives everybody a clearer insight into the way ahead. I'm all for that, a bit of clarity.''