Cole has been out of action because of injury for parts of the season, but when fit he has only started cup matches and reports suggested he could be set for a move away from Anfield.
"I'm just going along game by game," said Rodgers on the Liverpool Echo website.
"There is every opportunity for every player.
"It's not just about the games. Every player gets a chance every single day to show what they are all about.
"Is his future here? You would have to ask him that."
Rodgers has not got any fixed views on what the future holds for Cole.
"The guy is still a Liverpool player and while he's a Liverpool player I'll work as hard as I can with my staff to try to make him the best we possibly can,” added the Liverpool boss.
"If he's not going to play as often as he wants then he's no different to any player really. Players are about game time and money.
"But he's not any kind of problem, he's a good guy and we will see what happens over the coming months."