Yet after Mourinho was denied the signing of an elite centre-back in the summer window he voiced his frustrations by hinting United's board, led by Woodward, are acting as de facto football experts by having the final say over him regarding recruitment.
"I think football is changing and managers should be called head coaches".
It was the first game back with United for Pogba after his World Cup-winning exploits, and he said it was challenge to find his form before eventually giving way to substitute Marouane Fellaini in the 84th minute.
"It will be a hard season for everybody, not just for us", said Mourinho.
"We should start the Premier League with a win and we did", he said.
"Will his style of play bring us an EPL (English Premier League) title?" The 55-year-old told BBC Radio 5 Live: "I agree to the point that it doesn't matter who you're playing in the Premier League, they're tough".
"I know that Paul doesn't resist for 90, the same with Fred".
"Every team is a good team, forget the name, forget the history, forget the shirt".
Mourinho prepared for 'difficult' season after transfer woes
Shaw wasn't positive his goal meant he'd remain a first-choice starter for Mourinho , but he said he's set his sights high. This was the third time in a row that Leicester had conceded the first goal of the Premier League season.
Mourinho said that he had no choice but to hand a start to Pogba after Ander Herrera's injury.
"The club, since they sacked David Moyes, have been on a roundabout and have been reacting to things rather than going with a long-term strategy".
Mourinho also confirmed Pogba had his blessing to take the penalty after what appeared to be a disagreement with Alexis Sanchez. We played very well, the performance was OK.
Matteo Darmian, hoping for a return to Italy before the end of the month, tested Schmeichel at the near post early into a second half that United started with bundles of possession but few clear-cut chances.
"I mean, Manchester United, we have to show on the pitch, we have to play well, we have to be focused and we need people to trust us".
A good opportunity came when Pogba fed Sanchez and he set up Mata, who had a shot that was deflected just wide.
With Mourinho seemingly happy with his players after the opening-day win, perhaps he is not as disgruntled as everyone thought.
"It was not a good result, but it was a good performance", Puel said.