The Cote d'Ivoire star aims to get off to a winning start against the Liga giants, although he realises the Istanbul giants face a tough task
The Turkish champions recorded a 3-2 home win over Madrid in the quarter-finals of last year's edition of European club football's elite competition and even though they were eventually beaten 5-2 on aggregate, Drogba remains optimistic about his side's chances.
"Madrid are a great club with some great players. Football is a game of 11 against 11 on the pitch, though, so why would we not be able to spring a surprise," he was quoted as saying by AS.
"We can make our fans go crazy with the way we play. I remember last year when the Madrid players were in shock. They all told me that our fans are crazy and I think the Galatasaray supporters are the best.
"I hope that they will cheer us on against Madrid and we want to repay them with a good result.
"It would only be normal if we finished third or fourth in our group, but anything can happen in football. I believe in this team."
Galatasaray will also have to deal with Juventus and Copenhagen in Group B.