The team is next in action on Sunday when they visit Minnesota United.
He said on the Manchester United app: "If you look at my situation in the past year and a bit, you'd have thought this could have been impossible".
Unbeaten Chelsea have burst from the blocks this season and are now seven points better off than at the same stage last season.
It's been an odd four years for me.
A victory away at Chelsea, who have started the season brilliantly under Maurizio Sarri, could ignite the campagin for Mourinho and Co.
Liverpool have not had a win in their last four matches in all tournaments this season.
United now sit on the 13th position on the Premier League log after eight games.
However, those precious three points pushed them up to eighth in the table - still seven points shy of Chelsea.
"Luke is still young and is improving all the time and he must feel very proud of himself".
The news brings to an end a year of speculation about Shaw's future at the club, following a rumoured falling-out with Mourinho. His 56 per cent win percentage is a stark contrast to the 71 per cent win ratio during his first spell at Chelsea.
"This season seems a bit hard now but the season is still long and they still have a lot of competitions to play".
"Hazard is head and shoulders above everyone in the league so far this season".
He is also converting more chances and contributing to open play more than in any previous season, recording more touches and shot per 90 minutes.
Shaw signed for United in 2014 from Southampton for an undisclosed fee, believed to be in the region of £30 million - making him the most expensive teenager in world football at the time.
The kick-off time for the Red Devils' clash with Chelsea is 12:30pm.
It is a fascinating showdown filled with endless subplots and it will be live from 11.30am on Sky Sports Premier League this Saturday.