Mourinho also suggested that the players who featured in the semi-finals and final of the World Cup aren't fit enough to face Leicester but they may still need to be called upon due to the number of players unavailable.
'But maybe in the next game I can leave it to Alexis, it's not a problem.
He continued: 'Well, that's my style of taking penalties.
Naturally, not everyone was as pleased for Shaw as his teammates and the home supporters.
While United and other Premier League teams in England will not be able to bring in players after August 9, they can still sell players to other teams around Europe until August 31.
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Barcelona's Yerry Mina and Bayern Munich's Jérôme Boateng are also claimed to be on Mourinho's radar, despite contrasting World Cup performances for Colombia and Germany respectively.
It was the first senior goal for former England and Southampton defender Shaw, on the 23-year-old left-back's 141st appearance.
Shaw forced a save from Kasper Schmeichel just past the 40-minute mark, settling a pass from Juan Mata after some nice build-up play from United before firing right at the Leicester keeper.More news: The NRA's Convenient Hypocrisy On 3D-Printed Plastic Guns
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"It's the best feeling I have had in my career".
"It was my first goal and that is all that was important, it doesn't matter how I scored", he said.
Manchester United ended up 19 points adrift of their derby rivals, while Mourinho was criticised for his side's unadventurous style of play in the Premier League.
The 2018/19 Premier League season kicks off this weekend but Jose Mourinho is not a happy man.
Pogba played a key role for France as Didier Deschamps' men triumphed in Russian Federation last month, though his participation in the latter stages of the tournament meant he was late in joining up with his club colleagues.
"He worked amazingly well Monday, Tuesday, Wednesday and he's one of the players that I have to speak to see how physically and mentally he feels".
"I like my players and my group".