Metro reports that the Ivory Coast international was annoyed at being dropped by the Blues in favour of Fernando Torres for the draw at Fulham.
“I don’t know if Didier was happy,” Ancelotti admitted afterwards.
“But every player knows every game is important. It doesn’t matter [about individual players].”
Drogba was linked with a host of clubs in January, including Galatasaray, Marseille and Real Madrid.