Initial reports in France suggested Drogba had been ruled out of the tournament in South Africa after he was forced off the pitch during the first half of a warm-up game against Japan in Sion, Switzerland.
Drogba left the Tourbillon stadium with his arm in a cast and a wry smile on his face as he walked to the team bus.
The Chelsea striker went down under a heavy challenge from Japan defender Tulio after 15 minutes which left him spread-eagled on the pitch.
After rising groggily to his feet, the Chelsea forward hobbled off and was replaced by Seydou Doumbia.