Cole has been linked with West Ham United.
Asked what the future now holds, Cole told Sky Sports News: "I would love the chance - if they wanted to - to put it right.
"I don't want that on my career. I've been a success at West Ham, a success at Chelsea, and come to another country in France and had a good season.
"It's just that season at Liverpool. It's in their hands. I'm easy whatever way but the fire still burns with me and I would love to have the chance put it right if that's what they wanted."