Mourinho was quoted as saying: "Tell the FA to come and get me," in one national newspaper on Wednesday morning.
"I know nothing, I know nothing about it," he told Sky News. "The only thing I know is I should be on my sofa watching the game and you knock on my door. I have nothing to say."
Asked if he would want the job, Mourinho added: "I cannot answer you. My job at the moment is to take care of my family, things in Portugal, enjoy my life - not 100% because no football - but enjoying my life.
"There are lots of good managers around the world.
"The only thing I say it's a pity England is not in Euro 2008 but for sure they will be back for the World Cup in South Africa, they have to choose the right person for that."