The 39-year-old made his 999th senior appearance on Saturday and scored a fine effort at the same end he netted an iconic goal 19 years previously.
"He is incredible, isn't he? He is still making those runs into the box and the condition he is in," Carrick said.
"He is light on his feet, drifts past people still at that age. His quality and experience and brings so much to the team not just on the pitch but off it as well. Incredible."