Kean currently manages abroad at Singapore top flight side Brunei DPMM.
"There was contact before Jose Mourinho arrived in the summer," Kean told britishcoachesabroad.com.
"I was sounded out by an agent asking whether I was up for an assistant's role, and whether I was available. I said I was taking time out, and that, when I came back, I wanted a manager's job.
"I could have been Luiz Felipe Scloari's assistant at Chelsea. They approached me when I was assistant at Coventry - I spoke to Chris Coleman, the manager, and he said: 'Speak to the chairman (Ray Ranson)'.
"So I spoke to Ray, and he said: 'You've got a contract here'. So it didn't happen, but it's always nice when you're approached by a club of that stature. It shows people rate you."