The £35 million man took another step forward in his recovery for Liverpool by appearing as a substitute in the Europa League defeat to SC Braga, but has already impressed his new team-mates at Anfield, with Cole feeling his play resembles that of Chelsea's totemic Ivorian.
Cole told reporters: "He is only a young lad but he reminds me of a young Didier Drogba.
"I have played with both of them and I think he has all the attributes to become that type of centre-forward."
Much had been expected of the 29-year-old, who joined the club on a free transfer last summer, but he has been sidelined with niggles for most of the season and only a peripheral figure when fit.
However, the midfielder was able to play the full 90 minutes on Thursday night and is determined to prove himself to manager Kenny Dalglish and the club's fans.
"I am just going day by day. I am enjoying my football and I love to go into training with a smile on my face," said Cole.
"I'm trying to get a run in the side and trying to get back to where I need to be.
"If you work hard you get a bit of luck here and there and I am sure my luck is around the corner.
"This is a cracking club and I really think we are going in the right direction with Kenny Dalglish, [first-team coach] Steve Clarke and [director of football strategy] Damien Comolli."