For somebody that wants his club to get better i don't see a reason why he should not sack who is not performing the management as the right but the case of Chelsea is becoming something different because they are always sacking their coaches, and that instant result that they want they won't get it because the club needs more time for them to get results, but since they want a quick one they will keep sacking and I can bet you that they won't get results if this is what they want to be doing, because no coach will be good for them. Two seasons and the club have not actually archived anything, even with the number of coaches and buying of players they still did not succeed. I think the management should just focus on fixing rather than winning. Rhat way they will be able to move forward. If it is performance I know I don't like arsenal but you can not compare the two clubs arsenal finished second so are they comparable no.
Honestly, if Chelsea continue to be sacking their coach in this manner without giving them enough time to prove themselves, they will hardly find a better coach that will suit the team and bring back the team to their best form. Out of the coaches Chelsea have sacked, the one that surprises me very much is Pochettino. With the little improvement Chelsea have seen toward the end of last season, I did not expect Chelsea to sack Pochettino. If Chelsea had given Pochettino next season, with the way he was understanding Chelsea, next season may have been a better season for Chelsea.
I know that the sacking of Pochettino was based on the agreement they had; Pochettino did not meet up with the agreement. But with the performances Pochettino showed, without meeting up with what Chelsea wanted from him, it should have been considered. Sacking with only a little time will hardly work for them.