Hiddink replaced Luiz Felipe Scolari as manager at Stamford Bridge last week.
Towards the end of Scolari’s reign at Chelsea, Drogba found himself regulary in a substitute role.
“I don’t want to talk about the Scolari departure,” Drogba told L’Equipe.
“We have to look to the future, we have some big matches coming up. We must remain focused.
“The match against Watford? It felt so good to start a match again!
“That is the best way for me to find my best form. If you want to improve your physical shape, it is always better to be playing matches.
“I didn’t enjoy my time out of the team, because that would mean that I lack ambition. I can’t say that it was not disappointing.
“I gave my all to get back, though, and now it is up to me to show that I deserve to be on the pitch.”
“My partnership with Nicolas Anelka? There is something special between us,” he added.
“We are clever enough to know how to play together.
“It had been a long time since he had scored (prior to Saturday) and then he scores three in one match. I hope that will boost his confidence because the team needs him.”