While the former Chelsea hitman has insisted that he will stay put for the season, the Ivory Coast international was coy on whether he would stay beyond the summer.
"It is to early to speak about next season," Drogba told GS TV. "Firstly, I am not going anywhere in January. I want to be loyal until the end. I am thankful to Galatasaray. They gave me a chance to play at high level. That is why I am happy.
"I am lucky to play football. If you know little bit my history you will see the the trust of my teammate, my head coach and my manager. Everything is possible when you get this. When you start winning, you win one time you want to win again."
Drogba could face his former Premier League club in the next round of the Champions League after Galatasaray beat Juventus 1-0 to progress into the final 16 yesterday.