The captain of the Elephants could not make it to the list of 28 players called up for the qualifying game against Gambia on Saturday.
Drogba was part of the Galatasaray team that has made it to the last eight of the Champions League after eliminating Schalke 4-3 on aggregate, but was left off the list of 28 players that shows four goalkeepers, seven defenders, nine midfielders and eight strikers.
The coach of the Elephants will hold a press briefing on Monday to give the reasons behind his selections.
Cote d'Ivoire currently leads Group C with four points from two games.
The full squad:
Goalkeepers: Barry Boubacar, Gbohouo Sylvain, Sangare Badra, Cisse Abdoul Karim
Defenders: Bamba Souleiman, Boka Arthur, Brou Benjamin, Akpa Akpro, Zokora Didier, Toure Kolo, Ismael Traore
Midfielders: Abdul Razack, Karaboue Losseni, Gradel Max, Tiote Cheick, Toure Yaya, Sio Giovanni, Kone Kouamatien, Konan Didier, Serey Geoffroy
Strikers: Doumbia Seydou, Zougoula Koelly, Salomon Kalou, Kone Arouna, Traore Lacina, Gohou Gerard, Bony Wilfried, Kouassi Gervais