The 36-year-old moved from Shanghai Shenhua in January 2013 and helped the side to the Super Lig title the Turkish Super Cup the same year.
Speaking to the club's official TV channel, the former Chelsea icon issued a heartfelt goodbye.
"Galatasaray will always be in my heart, I'm very proud to have represented this team.
"I didn't come here for money. If I wanted money I would have stayed in China. I came to Turkey to play football, to feel the passion again. Scoring against Fenerbahce and Besiktas, I think I gave some happiness to our fans."Drogba also went on to thank a certain former manager for recommending that he move to the Turkish heavyweights.
"Jose Mourinho and Wesley Sneijder had a big impact on my decision to sign. Jose said to me 'if Wesley is going then you should go to', so I came.
"It was great to have a chance to play alongside him [Sneijder]."
Drogba did not give any indication as to where his future lies but his foremost concern will be Cote d'Ivoire's World Cup campaign.