The 36-year-old missed last Saturday's Premier League defeat of Swansea with an ankle problem, but was thrust into the starting line-up for Wednesday night's Champions League clash with Schalke.
Drogba was unable to add to his 157 Blues goals - accrued over eight years, from 2004 to 2012 - and Chelsea were punished as the Germans claimed a 1-1 draw.
"For a first game they were okay, kind of okay," Drogba, who left Stamford Bridge after scoring the decisive penalty in the 2012 European Cup win, told Chelsea TV.
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Drogba twice was unable to convert what would once have been meat and drink to him, firstly when Willian crossed inside the six-yard box and then when Eden Hazard played him in.
Drogba added: "I had (chances), especially the one in the second half. It was a clear chance and I think it's unlucky. If I score there there's no more game. The fact that you don't score, they still believe in the equaliser and that's what happened afterwards."