"I think he played like the team, " the Red Devils manager said of Pogba.
"One of the best halves we have played here".
Meanwhile, in certain situations, Mourinho could undoubtedly provide a better tactical platform to bring the best out of one of the Premier League's finest talents.
The France midfielder returned to the starting lineup for the first time in three matches as United overcame Swansea City 2-0 on Saturday to maintain their hold on second place in the Premier League table.
Carrick's role at United next season has not been specified but a coaching role is obviously plausible.
"I think he will", Mourinho said when asked if Shaw will be a United player next season, reports Sky Sports.
The Belgium striker ran onto Sanchez's pass and scored with a deflected shot to put United ahead at Old Trafford in the fifth minute. "Second-half I think Alexis was one of the guys who paid the price of the worldwide week, playing two matches in three days".
Pogba got the job done against Swansea as he and his United teammates dominated the relegation-threatened side, particularly in a first half Mourinho called "perfect".
The France worldwide made a blistering start to the Premier League season following two goals and two assists in his opening four games.
Afterwards, he pointed to their league record and an upcoming FA Cup semi-final against Tottenham as evidence of their improvement this season.
'But so far, we're swimming so it's not bad, but we still feel we need to swim faster and we need more points to stay up'.
Shaw looks destined for the exit door, despite having appeared to win favour with the 55-year-old midway through the season.