Monaco have reportedly enquired about his availability, while Tottenham have also been linked with interest.
Pogba and Martial have both started the season well for United, with the France midfielder scoring in their first two games of the season. "It was all positive". But clearer signs will be observed in the coming weeks when the worldwide break will inevitably snap some or all of the momentum and confidence that has been gained, but it has been so very good for Mourinho in his second season at a new club, so far. The man from France has been instrumental to his team's success in these two games, scoring a goal in each game.
But head coach Paul Clement said: "We were competitive for long periods of the game -- right up until the second goal".
He added: "Of course Martial wants to play, start for us, be selected for the national team and go to the World Cup". "But I really believe you need a year to succeed in the Premier League, it's the fastest league in the world". "That French language little group we have - [Marouane] Fellaini, Paul, Lukaku".
"He is very well integrated now".
"His professional level has improved, he's working much, much better, so we are happy".
But Marcus Rashford - starting his second consecutive game on the left-wing - enjoyed a tougher afternoon.
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"Honestly I think if he was on the bench and if he came on in the last 15 minutes when the space was there, I think he would do the same as the other guys".
And while there's no way of telling whether Mourinho's men can keep the momentum up till the last day of the season, there's something definitely different and exciting at Old Trafford this season.
"I don't even think that the first yellow card was so deserved", he said.
"If he was a bad player, nobody would try to provoke him. They see the speed, they see the danger, they think probably they can affect him".
"They were going down the centre of pitch which I found they were doing on a lot of occasions". The Premier League table is yet to take any real shape, but one thing is clear from the opening two weekends: Manchester United are a force once more.
If the reports are accurate that Zlatan Ibrahimovic is making rapid progress in his return from a knee injury and is set to sign a new contract with club, United will have plenty of options in the forward areas.