We know that Pochettino was not fired by the Chelsea management. Pochettino voluntarily re-signed. However, Pochettino re-signed because his relationship with Chelsea management is not good. And since Chelsea's change of ownership, no coach has had a good relationship with Chelsea management. And that's why we hold Chelsea management responsible for Chelsea's decline.
Chelsea will now look for a new coach. It will not be easy for the new coach to stabilize the team. It needs time. So it seems very unlikely that we will see Chelsea in the top 4 of the table next season as well.
There is no one to blame apart from Chelsea management, they are indeed responsible for Chelsea's current downfall due to their inability to manage the team.
I think Pochettino's departure is a repeat mistake made by Chelsea management after the previous season they also did the same thing with Tauchel, they changed coaches as if they wanted instant progress.
It is reported that Enzo Maresca will become Chelsea coach next season and I also don't think there will be any significant progress no matter who the coach is because building a team requires a process and time while Chelsea management does not appreciate the process that has been carried out by several previous coaches including Pochettino.