Sterling was unexpectedly benched for the game, prompting his camp to issue a statement calling for "clarity" on the decision.
Sturridge said on : "I want to say that I have a lot of love and respect for Raheem Sterling as a football player. As a guy, he a young brother of mine.
"The timing's not great, especially on the day of the game. But he will feel he's good enough to help Chelsea Football Club.
"In his mind, he's probably thinking, 'Going up against City today, my old club, get out there'. I think there's probably surprised by not being involved.
"I don't agree with it, with the message going out on the day game. Obviously, it's not good timing, but Raheem Sterling, in my opinion, is a good enough player to be in Chelsea squad."