Cole earlier this year signed a one-year contract extension which incorporates the forthcoming season.
Asked if he would like to stay on longer, he said: "I hope so.
"That's not down to me. I've just got to keep training hard, try to keep playing well and hopefully keep my place in the team.
"We'll see what goes from there. I love Chelsea. I've been here seven years now and I would love to stay here as long as I can."