Carrick defended Dalot. The Manchester United defender appeared to receive sarcastic cheers from fans when he was substituted in Manchester United's 4-4 draw with Aston Villa on Sunday.
Dalot conceded a penalty, and Villa twice took a two-goal lead, first 2-0 and then 4-2, while Manchester United scored two goals in stoppage time to stage a dramatic comeback.
The Portuguese international was substituted in the 66th minute, and when his number was shown, there were loud cheers followed by boos.
"Dalot, he always gives his all," Carrick said when asked about the fans' reaction.
"He has played in different positions, and also at left-back, and sometimes he has played really well. Today he conceded a penalty, and he knows that himself.
"Maybe he could have done better, well, that's part of the game, he made mistakes, but he cares a lot and always gives his best."
In addition to conceding a penalty against Villa, which McGinn converted, Dalot was also responsible for Roma's first goal in Manchester United's 3-2 Champions League victory over Roma on Tuesday.
Despite some ups and downs this season, Carrick has continued to play the 27-year-old, who was part of the team's leadership group under former coach Amorim.
"I like what he brings to the team, I like what he brings to the group, and I like what he brings to the whole environment and the culture we have," Carrick said.
"Picking a squad and deciding who plays the next game, that's a completely different decision, but now we face another completely different game."