Samuel Eto'o was the hero for the Serie A giants in London, grabbing the only goal of the game to give his side a 3-1 aggregate victory.
Drogba, meanwhile, was the villain for the Blues, his frustrating evening ending in a red card after a tangle with Thiago Motta late in the day.
However, the Ivorian star was gracious in defeat, admitting that the Nerazzurri were good value for their result and have what it takes to press on in the competition.
"I think that Inter made a great match and they deserved to win," Drogba said after the game.
"Probably, we missed the chance in the first match in Milan, in which we had many opportunities but we failed to score more.
"Tonight Inter were better. I think that now they can go very far in the competition."
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