The England star made a triumphant return to the first XI at the weekend, after nine months on the sidelines with a knee injury.
Now, after playing under Carlo Ancelotti for the first time, Cole insists that he has no plans to quit the West London giants - despite reports to the contrary in recent months.
Cole's current deal expires next summer and Chelsea are anxious to tie him down to a long-term contract.
"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."