Negotiations over a new deal have stalled since the start of the year when the 65-year-old was linked with the then vacant England manager's job.
"No, I haven't resigned, and I have no idea why it is being suggested that I have resigned," he told ESPN.
"This is an outrage; an absolute liberty for people to be putting around this kind of rumour on the internet.
"It is not true, there is not a chance I will resign. Why should I?
"I have a year left on my contract."