The Northern Irishman, 32, is an ambitious coach and has been earmarked for a promotion this summer as Mourinho looks to reshape his staff after Faria's surprise departure.
However, Man United still have a chance of silverware as they lock horns with Chelsea at Wembley Stadium this Saturday for the chance to lift the FA Cup.
Mourinho stated Michael Carrick who played his final game for United in the win against Watford could become his assistant.
The 36-year-old former England midfielder ended his playing career against Watford on Sunday after 12 seasons and 464 appearances for United. "That's part of being on the staff, to work with the manager to try to get what's best for the club, support as best I can". It is added that an agreement could be reached when their respective seasons come to a close, though the deal is likely to cost in upwards of £50m.
'I don't want to be throwing quotes out there saying I want to be a manager'. I'd just say to the fans, I'm sure if I was a Chelsea fan I would've enjoyed the last seven, eight, nine, 10 years. It was the final chance to cut the cloth clean.
'It is minimize clear and I can transfer on and focus exclusively on the opposite facet.
"The question at Manchester United is which players do you keep and which don't you keep".
Mourinho claimed earlier this week that Martial would play against the Hornets, having sat out Thursday's 0-0 draw with West Ham. You never know what is going to be around the corner. "We can't just let the FA Cup final pass". I am extra excited in regards to the future then wanting again and being unhappy it is over.
On the other hand, the team finished second in the Premier League this season, their best result since the retirement of Sir Alex Ferguson.
"But, it's a final, it's a big game and I feel that normally in those games you shouldn't have to motivate players to play football because we do what we love and we always have to do it 120 per cent".