Miller, primarily a forward, came in at left-back and lasted over an hour before making way for Emilio Izaguirre as Scott Sinclair's 16th-minute strike took the Hoops 14 points clear of Rangers at the top of the Ladbrokes Premiership.
The Celtic manager said: "I was delighted for a young player who has just moved position. I thought he did very well and he wants to learn and develop.
"I see similar sort of traits in Calvin, where he can do that one position behind but he's only 18 so he needs time to learn that position and role but he's got some outstanding qualities and can offer the club something going forward."
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