I'm not defending Pochettino, but look at Chelsea recent performance, they have improved and managed to reach 7th place in the standings, but the improvement in the remainder of this season is not really expected by Chelsea fans because it is too futile to try to get the best place.
I'm a little surprised why Chelsea can perform so well towards the end of the season, whereas at the start of the season their performance was very unstable and they almost gave up hope that they would experience a bad season in the next few years.
after seeing this change, Chelsea believes that Chelsea can still improve in the coming season if they can retain Pochettino, although there are no guarantees, but at the end of this season it looks convincing and it seems Pochettino already knows what he has to do.
currently looking for the best manager is not the best way because Chelsea has started to show positive changes and there is no harm in maintaining the existing ones and just trying to change some unproductive players to strengthen every line that needs to be improved.
It still takes a process for Pochettino to build the Chelsea team and indeed we can see that there is better progress compared to the start of the season which indicates that this team has better potential in the future, so I think Chelsea management should give Pochettino more time to build this team and give Pochettino the freedom to recruit players according to his wishes.
Chelsea have made mistakes when they changed coaches and the results were quite bad, so for now it is appropriate for the Chelsea team to go through a lot of processes to build a team and I think Pochettino has done a good job in his first season.