The 34-year-old’s current contract with Chelsea is set to expire at the end of the season.
Drogba has recently been linked with a lucrative move to China, but insists he wants to stay at Chelsea for as long as possible.
He said: “I am not master of my fate, but I will stay as long as possible.
“I am happy here, to experience moments like these against Napoli. I hope there will be many others.”