However, his involvement at the World Cup still appears to be in the balance.
The Elephants skipper was forced out of his side's warm-up game against Japan on Friday and it initially seemed that his South Africa 2010 dream was in tatters.
However, a spokesman later stated that Drogba had not been ruled out of the tournament 'at this stage' and he has now gone under the knife.
The Ivory Coast Federation (FIF) are happy with how the surgery has gone and hope he will regain fitness as quickly as possible.
"Following the fracture of the ulna which Didier Drogba suffered in the international friendly between Japan and the Ivory Coast, on June 4 in Sion, the national team captain was today, Saturday June 5, admitted to the Lindenhof hospital in Berne," read a statement on the FIF website.
"He was taken care of by Professors Ralph Hertel and Michel Gaillot, eminent specialists in their area.
"The surgical operation which was necessitated by his condition was performed with success.
"Professors Hertel and Gaillot, as well as the Elephants' medical staff, are confident regarding the speedy recovery of the player.
"The FIF thank the sporting world and all those in the Ivory Coast, in Africa and throughout the world who have shown their support to Didier Drogba and the Ivory Coast."