In terms of the ability to win the title, Pochettino is not highly appreciated. He was left empty-handed with Tottenham, failing to defend the Ligue-1 title with PSG. Although this season they are leading by a safe distance, for PSG, winning the Ligue-1 championship is a given, everyone must do it.
For Ten Hag, if the Dutch league is not canceled due to COVID-19 in 2020, they will have a domestic hat-trick. In 2018-19 and 2020-21, they both won the championship twice, so Ten Hag was rated very highly. Although Eredivisie is not considered the top tournament in Europe, Ten Hag's achievements cannot be underestimated.
Pochettino is considered a squad leader in a long-term strategy that is quite good. When he was working at Tottenham, although he was not spending much money by his boss Levy, Poch still built a Spurs with a deep, inheritable squad, both superstar and good founders.
When he moved to PSG, being given a lot of money, Pochettino showed great appeal when recruiting 5 new players at the same time, especially superstar Messi. Man United is also a very rich team, so fans expect this strategist to bring home such contracts.
Ten Hag is another, Ajax's captain still imbued with the club's tradition of prioritizing the nurturing of young talent, giving them a kiln to serve the team, then selling them for a large sum of money. If he arrives at Old Trafford, Ten Hag must learn how to spend money, rather than nurturing for many years to sell players for money.
Of course, using "homegrown chickens" and success is a good thing, also in line with M.U's tradition, but the frequency will have to be much more limited than Ajax.
In terms of playing style, Pochettino is an attacking player but not so much that he has built himself into a club. From Tottenham to PSG, the Argentine coach rotated 4-2-3-1 to 4-3-3. Poch wants the players to always be in a state of putting pressure on the opponent, from speed, collisions to breaking the playing style.
If using this style at M.U, the team's entertainment can go down but is very suitable for the Premier League environment, because sometimes just needing to break the opponent is enough to win, no need for a super high level play.
Teg Hag is different from Pochettino in that he has a strong squad and attacks continuously, regardless of who the opponent is, playing in which stadium. The 4-3-3 formation is always the choice and way of playing to constantly stuff the ball into the opponent's penalty area.
Ten Hag is not innocent and this way of playing could have relieved the frustration of M.U fans in the past when they saw their team unable to return to scoring, even many goals. With a series of good attacking players in the squad, there is no reason why a team like M.U cannot play at all costs.
The last thing, not professional but very important, is to build relationships with the players. Pochettino is not a model or a celebrity, but with the stars considered the key, he always has a way to be close and encourage quietly. Typically, Kane has risen to become the world's top striker under Poch.
Ten Hag is not a strict person and likes to be friends with players, quite similar to Solskjaer. This will be very good at times, but who knows, it will become uncomfortable when the player is not really afraid of the coach?
