Chelsea currently with Pochetino have quite good development. This means that there is visible progress in Chelsea's training pattern. It seems like the fans just have to be patient and enjoy the process. I think Chelsea should keep him. He's a good coach and has a lot of quality in the League. If they rush to change coaches, I think it will create new problems because players need to adapt again.
We can't deny that Chelsea won 2 matches before they played against Arsenal. They defeated Burnley and Fulham. Sure, it is a good progress, everyone expects Chelsea can maintain their current performance. In the match against Arsenal, they only got a draw but it was a good result for Chelsea because they succeed to steal points from one of the strongest team in EPL. I think if Chelsea defenders can be stronger, they probably won the match. They already lead with 2 goals, but they conceded 2 goals in the 2nd half.
I agree that Chelsea needs to keep Pochetino. His work looks quite well, there is an improvement on Chelsea performance although Chelsea position is still in the middle of EPL standings.