Oh it could definitely happen and like you mention, it has happened for another club. The thing is, if you look at the Chelsea players currently, there's no drive behind their performances.

Knowing just a bit about monchengladbach, those players were having a bad time but there was still the passion and drive to want to do better, doubled with the fact that the supporters would still turn up to every game and will them on. Both of those facts aren't the case with Chelsea on the whole.

Chelsea has rode the highs the past couple of years with their older players still being fast and fit, as well as new signings breathing life into the team too. But that was then and now either the experienced players have gone or (in Terry's case) aren't good enough any more. Even the bigger signings seem to be jaded with it all.

I would love (okay not love but wouldn't mind!) being proven wrong but Chelsea needs a clean sweep - flush out the jaded players, get some fresh blood into the team to actually start playing like a team again. Getting rid of just a manager isn't IMO going to solve all of their problems.