The Ivorian striker, who came up against Carragher whilst at Stamford Bridge many times in both Europe and domestically, says he was often left frustrated by the battle Carragher created and never backed down.
Carragher will play his final game for Liverpool this Sunday as he retires after 16 years at the club.
He will captain the side out for the Reds’ final game of the season at home to QPR in the Premier League.
“Jamie is an icon – a Liverpool icon,” Drogba told LFC TV for a documentary on Carragher to be aired at 7pm on Friday, May 24th.
“16 years at the club, he has been the captain and a true leader. I think even now, he is still the leader of the team.
“He did a lot of things for the club, including winning the Champions League.
“I played a lot of games against him and it was always a battle. When I thought I’d won the duel, he’d be there again, but it was always in a good spirit.
“That’s what made him a great player.”