What Potter has done so far is quite encouraging for Chelsea and the decision to immediately replace they old coach is right to improve Chelsea's performance which was previously not good, but his current achievement is also supported by good players.
One thing about Chelsea as a football club is that they don't accept excuses, the moment a manager begins to underperform, they get sacked and that has been working so well for them that the new management had to continue this tradition. This practice goes a long way in letting the manager know that what the club wants from him is progress. The club is willing to finance whatever player the coach wants provided they can guarantee the club continue progress especially in cup tournaments.
Chelsea history has to do with newly appointed manager leading the team to success. Both champions league winning season had this same story and the good thing about this is the plan actually works because the boys fight for their position as the incoming coach never favor previous starting 11. The new manager also has alot to prove so he is always determine to play the best fit players to get the wins even though it means getting on some nerves.