Marotta says there's been no approach made to the Shanghai Shenhua striker.
"Drogba? No, we haven't made any contact," he told Sky Sport Italia. "He would not be available anyway because of the African Cup of Nations.
"I don't know how people haven't realised this.
"Lucio has recently left the club and Giorgio Chiellini is injured, so we will be searching for a player to fill the central defender role.
"We have scored a lot of goals this season, and the January transfer window does not always provide the best options."