The 35-year old Ivory Coast international rejected a $10million offer from North America's top flight last year when he left Chelsea to join Chinese Super League club Shanghai Shenhua but has more recently suggested he might end up in the USA.
Salomon Kalou said not too long ago that his former Chelsea teammate Drogba has ambitions to play MLS and the powerful attacker kept that door ajar by telling SI.com's Grant Wahl there is a possibility.
"A lot of things have been said in the past, from people in the MLS or even Salomon. But I think if something is going to happen it wouldn't be strange," said Drogba.
"Football is developing a lot in the US, and there are great teams and good players like Thierry Henry. David Beckham was there as well.
"Now there are a lot of players going there. (Clint) Dempsey has gone back. The league is even more competitive now. I keep on following it. I don't know, maybe one day it would be another challenge.
When quizzed further as to whether New York Red Bulls would be the team he settles for, Drogba added: "New York is great. Everybody knows that I love the US - I spend my holidays there, and it's an interesting league.
"I'm a man of challenges, and for me going to China was one challenge. Of course they pay you for your performances as well, but it's not about the money. It's more about the challenge. I have a big challenge at Galatasaray, and I'm happy to be here.