The 35-year-old midfielder scored the opening goal for United in their eventual 3-1 EFL Cup third round win over Northampton Town at Sixfields Stadium in what was a solid display in the centre of the pitch.
Regarding Carrick and United's overall showing, Mourinho told Sky Sports and MUTV: "I don't want to individualise too much.
"I think he was fine and I think the midfield worked really well in the control of the game.
"I changed Schneiderlin to Marouane to try to stop what I know was going to happen with our opponent losing 2-1, which was for them to put long balls into the box and waiting for set pieces.
"But I think collectively the team was fine."