Chelsea's disappointing season took a turn for the worse when they were dumped out of the UEFA Champions League by Real Madrid at the quarterfinal stage on Tuesday.
Real Madrid beat the Blues 2-0 at Stamford Bridge to complete a 4-0 aggregate win over Frank Lampard's side.
Chelsea are wallowing in the bottom half of the Premier League table and are almost certain to be without European football next season despite spending over £600m on new players since Boehly took over from previous owner Roman Abramovich last summer.
Drogba won 12 major trophies under Abramovich in what was the most successful period in the club's history.
"I knew this club with a certain class during the Abramovich era, but today I find it lacking. It's very hard for me to see how they got rid of certain people," he told Canal+.
"They should go back to the principles and values they had. I no longer recognise my club."
"Bringing in players like Petr Cech, Andriy Shevchenko, Herman Crespo, Michael Essien, Didier Drogba, Florent Malouda, I go on – it was done to win titles," Drogba added.
"They are players with a certain experience. The strategy is now different; we bet on young players. But a dressing room of over 30 players is difficult [to manage] for a manager."