The Ivory Coast international is currently a free agent having left Chelsea at the end of last season and has been linked with a move to the States.
Chicago Fire have also shown interest as well as Indian Super League side Atletico de Kolkata.
The West Bengal club reportedly offered the 37-year-old $1million plus an unspecified bonus, according to reports.
But the striker has turned down the big-money move in order to pursue a career in the MLS.
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Didier Drogba made over 250 appearances for Chelsea
Former Chelsea team-mate Frank Lampard recently joined New York City while other big-name stars including Steven Gerrard, Andrea Pirlo and Kaka all reside in the US.
Drogba made over 250 appearances for Chelsea in two stints at the club where he was part of Chelsea's Premier League winning sides in 2004 and 2005 and that of 2012 UEFA Champions League winning team.
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