If Chelsea management is too hasty in hoping for a quick fix, then they will only be wasting time and money. The best approach I can expect from them next season is to give the same coach at least 2 to 3 seasons to develop, of course one season will not be enough.
New coaches require adaptation and implementation of good strategies for their players. He needs to implement many new things in his players and of course that takes time and patience. It was no surprise when we saw Pochettino fail in his first season at Chelsea, but he started to improve as the season drew to a close. If only Chelsea will be patient, then I think Pochettino can offer a lot of new things next season.
Its not difference with Chelsea's management expectation with new manager keep get top fourth standings position or winning the Premier League trophy in his first season appearance.
Pochettino had working hard after many key players injury and success made Chelsea finish on top sixth standings place but management sacked him after lack patience waiting the progress and development.
Seems difference with Chelsea performance next seaosn if management keep believing for Pochettino because has opportunity keep in the Premier League race or finish as big four premier league teams.