"We have a team capable of great things at the 2013 Africa Cup of Nations," says Drogba on Fifa.com. "It would be great to win the trophy now. Honestly, we are getting tired of losing out each time.
"We showed great solidarity against Senegal (in the qualifiers). We fought together, everybody gave of himself and this helped us to win. And now everybody expects a trophy. We hope to give the Cup to our country."
Drogba was part of the team that reached the Nations Cup finals in 2006 and 2012, losing to Egypt and Zambia.
The striker is part of his country's 'golden generation', which also includes Yaya and Kolo Toure, Didier Zokora and Emmanuel Eboue.
The Afcon in South Africa is likely to be the last chance for the 34 year-old to win the title.