Owner Roman Abramovich has appointed nine managers in the last ten years at Stamford Bridge, and current boss Antonio Conte has been under a cloud so far this season.
Drogba said: "Everyone says Chelsea isn't very stable. But in modern-day football, there is no coach who lasts more than three or four years at a club.
"I asked him [Abramovich]: 'We have had how many managers in how many seasons?' He replied: 'But Didier, each time I have done it, we have got results.'"
But Drogba denied that the strategy was intentional from Abramovich.
"No, because when the managers come in they have carte blanche at the club," he added. "They do what they want.
"Having said that, I don't see the relationship with the chairman on a daily basis. But you can't get into a conflict with your boss. If that's the case, it's that you want to leave."