Chelsea's management should be a little patient and give time to every coach they bring to their team, not immediately fire them when the team doesn't get good results. Next season everyone will see how Pochettino coaches the Chelsea team by applying the experience and method he already has at the moment, although Pochettino will have to change several players. And make old players better so that Chelsea can regain its achievements which were left far behind last season.
I'm sure next season we'll see some of these ridiculous layoffs anyway. There are too many clubs in the Premier League for which 6th-7th place is a failure. Let's say that the positions of Arteta or Guardiola are strong, but I'm not sure about the others. But as everyone understands, no matter what happens, someone will end up in these unfortunate places (and maybe even lower - like Chelsea last season).