The England star returned the first XI at the weekend, after having been out of action for nine months with a knee injury.
Chelsea are keen on having Cole sign a new long-term contract with the club, as his current deal expires next summer.
“We’re talking at the moment about the future and we all agree what we want,” he told The Daily Mirror.
“I love it here. The club want me to stay, so there should be no problems.
“I feel like this is my home.”
