The Ivorian striker has been linked with a move to Manchester City in recent weeks.
"Every summer there is speculation, you saw me in a Chelsea shirt [on Sunday] and I think that is how you will see me all season!" Drogba told his club's official website.
Drogba believes City could play a part in the title race this season.
"We saw last year that Tottenham were there fighting for fourth place, Arsenal were there, so the Premiership will be more open, with Manchester City spending more money and buying quality players," he explained.