The 37-year-old is a free agent after being released by the Premier League champions at the end of last season.
He has been linked with a move to Inter Milan, but it looks as though he now could be set to follow Steven Gerrard and Frank Lampard in going Stateside.
“I’m not aware of that situation (with Inter),” the striker told FCInter1908.
“Inter are a great club, and certainly if they were to contact me I’d gladly listen to their offer, but I’m currently in talks with an MLS club.
“Inter could be an option if they really are interested in me.”
It has been reported that Chicago Fire are the MLS team in talks to sign the Ivorian.
Drogba enjoyed two spells with Chelsea, scoring a total of 164 goals in 381 appearances and winning the Premier League on four occasions.
He also won the Champions League with the Blues and spent time with Galatasaray in 2013/14.