Pogba came under criticism before the tournament began, as he was booed off by the French fans in a warm up match for the World Cup.
"He is young. He won the World Cup, he was in the Champions League final (with Juventus), the Europa League final (with United), the European (Championship) final (with France) - and he won many titles at Juventus".
"I hope that he understands why he was so good".
Pogba, 25, produced a number of scintillating performances as France clinched their first World Cup triumph since 1998.
However, the United boss believes Pogba needs to appreciate why he was so effective for Didier Deschamps' team if he is to hit the same heights for United.
Mourinho claimed he was unsure whether there would be further incomings to Old Trafford before the 2018-19 season gets underway in less than four weeks' time.
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Pogba has become somewhat of a whipping boy in English football following his big-money move in 2016 after scoring just 11 goals in his 57 Premier League appearances in two seasons.
France faced Argentina in the World Cup last 16 in Kazan, winning 4-3 in a thrilling game in which they came from 2-1 down to book a spot in the quarter-final.
Russian Federation 2018 was potentially Messi's last chance at winning the World Cup with the Barcelona man set to be 35 by the time the Qatar competition rolls around.
Pogba was one of the key figures of France's success in the tournament, and his emergence as a leader on the pitch in midfield was one of the key reasons behind their World Cup success. "They needed to focus on the job for their national team".
"I think Leo has to think about himself", Tevez told ESPN. The future for him amongst that fantastic group of players can only be brilliant and I hope he understands why he was very good. He is also set to miss the first game of the Premier League season against Leicester at Old Trafford on August 10.