The speculation was sparked off when he had a casual meeting with Ranbir recently.
"Oops! Can't I meet an actor I like without setting off rounds of speculation? And would anyone be silly enough to give up Hrithik for a film?," he wrote on Twitter.
Kapur, who has made films like "Masoom", "Mr India" and "Bandit Queen", feels that Indian cinema is in safe hands with new breed of actors.
"Press asking why I've been seen with Ranbir Kapoor. I really enjoy listening to him. Future of Indian Cinema safe in this breed of new stars," he added.