Gala have made a £13 million bid for the Nigeria international.
"I'm very pleased with Galatasaray's offer," Mikel told Sabah.
"I asked Drogba for advice and he told me that Istanbul is a fantastic city, that Galatasaray is a huge club and that I have to make the move.
"I have played at Chelsea for a long time and it's now time for me to leave.
"I'm still only 26 and it's great to receive an offer from a club (Galatasaray) playing Champions League football and doing well in the competition."
"All that is left is for the clubs to reach an agreement."