McCoist appeared overwhelmed by the scene as he laid flowers on behalf of Rangers Football Club at a memorial site on the banks of the Clyde.
He placed a wreath and a card that read: "Sincere condolences from everyone at Rangers Football Club."
After spending a few moments looking at the floral tributes left by well wishers, the Rangers manager said he did not wish to make any comment.
His squad had already paid respect to those lost in the Clutha tragedy when players wore black armbands during Saturday's match against Falkirk.
Fans attending the Scottish Cup tie at Westfield observed a minute's silence before the game kicked off.
In a statement released on Rangers website on Saturday afternoon McCoist said: "It's an absolutely horrific event in the city centre and it hits everybody because everybody knows the area.
"They have certainly walked up it at some point in time and for it to happen is absolutely shocking. It puts everything into perspective."