The 21-year old enjoyed a stellar spell with Bolton in the second half of last season, scoring eight goals in 12 appearances, and now England left-back Cole wants to see him stick around with Chelsea and repeat his form in a Blues shirt.
"I saw Daniel Sturridge recently and look at what he has done at Bolton," the England defender told the club's official website.
"I knew what he could do. I've seen him in training and he's honestly one of the hardest players I've ever had to mark. His movement is unreal.
"Hopefully when he comes back next season he'll see more opportunities and bang goals in for us like he has done for Bolton."