Mauricio Pochettino did not deserve to be sacked for many reasons. Firstly, Chelsea showed a positive trend in their results. The club was in 10th place after the first half of the season, but finished the season in 6th place. Secondly, under the Argentine coach, the players started to improve. Cole Palmer became the best young footballer of the championship of England. Nicholas Jackson started to add value. I think Pochettino did a good job at Chelsea and the club management should have extended his contract for one more season.
I also think so, this is Chelsea management's fault, they shouldn't have fired Pochettino after Pochettino managed to show much better progress since he became Chelsea coach, everything needs a process and Pochettino has done it well, but the steps taken by Chelsea management are quite surprising, I think this is again the same mistake as last season made by Chelsea management.
Now Chelsea is recruiting Enzo Maresca. It must be admitted that Enzo Maresca is a good coach, but I'm sure it won't be easy for Enzo Maresca to immediately improve Chelsea's performance, everything needs a process and time.