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Manchester United performance is very impressive this season under Erik Ten Hag and if you can recall with me, there was a time Manchester united joined the race to win the league. The only factor that stopped them was that they were playing all the titles and cups such as;
English Premier League,
Emirates FA Cup,
Caraoba Cup,
Europa League
And yet they didn't have good squad depth to play all the matches, at a time they were caught up by fatigue and their best defensive midfielder was red carded twice during this period which made him miss a total of 6 EPL matches and the development wasn't cool for the club to cope.
Erik Ten Hag has brought Manchester United to good development and has proven that they have managed to reach some pretty good positions this season in the several leagues they have followed.
It is possible that in the summer they will get stronger and could shift Arsenal and become tough rivals for Manchester City.
But yes, it all depends on Erik Ten Hag whether he can bring Manchester United to a championship when the team has to play more often because it participates in several leagues simultaneously.