McCarthy, a former Celtic skipper, enjoyed his return to the east end of Glasgow last night and was impressed with the performance of former Molineux player Mulgrew.
He said: "I thought Charlie Mulgrew was excellent, he came through us on the left.
"He wasn't half the player at our place.
"But I admired him because he went back to Aberdeen and he has re-built his career."
McCarthy added: "Just coming here and winning was a positive, without picking out anyone in particular."