The Ivory Coast forward was speaking ahead of his return to the Blues dressing room after disappointment in the final of the Africa Cup of Nations.
Drogba was also speaking in response to questions about current Chelsea boss Andre Villas-Boas and claimed players need to take as much responsibility for the team’s poor performances in recent weeks.
“It would be interesting to be Chelsea manager. I love this club and I always want to help the people I love, so why not,” he is quoted as saying in The Sun.
“If I was a manager I would give a lot to my players. You have to show them you care and that they are the best and they will pay you back.”
Drogba was diplomatic when speaking about the impact Villas-Boas has had since he arrived from Porto, where he experienced unprecedented success.
The Ivory Coast captain has struggled for a run of game sunder the Portuguese and there has been speculation surrounding his future as his contract expires at the end of the season, but he reiterated the importance of taking collective blame.
“He came with his philosophy which is playing a bit more football than the other managers. That's how he succeeded in Porto so he wanted to do the same at Chelsea” added Drogba.
“You know how it is when you come with a lot of ambition and it doesn't go the way you want, it's difficult. It's not easy for him but he's not the only one who is responsible, we all are.”
Despise his magnanimity, the 33-year-old did send a warning shot to his young manager about the culture of winning at Chelsea.
The veteran forward has experienced much success at Stamford Bridge and gave an insight into the mentality pragmatism that has pervaded around the club during those years.
“I don't think it's about the style the manager wants to bring to the team, it's about winning games,” he warned.
“The best tactic is always the one which makes you win. You can feel comfortable in a certain system like 4-4-2 or 4-3-3 but, believe me, when you win you forget about the tactics used to achieve it.”