Yes that's the most important thing, Chelsea have chosen him as a new manager and now is the time to prove his capacity as a reliable manager
It seems that Chelsea plans to build a team for the long term they just got a young player Dujuan Richards but he has not been able to enter the main team because under 18 years old Dujuan Richards can play to the main team in the next season.
Indeed, on the other hand, many people doubt Pochettino's presence, people don't really care about it because maybe they are fed up with the failures of the coaches that Todd brought in before so they are not sure about Pochettino's arrival. But apart from that I heard that Todd has taken various steps to be able to get the best candidate who can manage Chelsea with maximum results, several candidates are in the hunt, and among them are Nagelsman, Luis Enrique and Pochettino which in the end Todd chose the former Spurs coach and PSG, namely Pochettino because he reportedly has extensive experience in the world of coaching, especially in the Premier League and is considered suitable for Chelsea's needs.
True, now that Chelsea have successfully completed the signing of Jamaica international Dujuan Richards who will join next season after his 18th birthday, he will be in Pochettino's long-term plans. With the steps Pochettino is taking I don't think there is any doubt he can make progress for Chelsea because I see him taking his job very seriously.