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.
Sacking a coach is not a big deal if that is what is going to bring betterment to the team, but Chelsea's is too much to be sincere. They always sack their managers once they see a little mistake that is difficult to correct. They don’t give him enough time to see if he will be able to get things right.
However, when a new coach comes to a team, before he gets the squad back to full performance as everybody wants, it takes time since he will come with his new method of play. Apart from that, Chelsea management does not usually give enough time; they want things to be done in a very short period of time, and that is the problem.