Roy Hodgson resigned as England manager after Iceland recorded a shock 2-1 win to reach the last eight of Euro 2016.
His four years in charge came to a miserable end with the defeat to the minnows.
He said: ‘I hope you will still be able to see an England team in a final of a major tournament soon.’
England suffered humiliation as Iceland shocked them in the last 16 clash.
Iceland are ranked 34th in the world – and with a population of just 330,000.
England took the lead through Wayne Rooney’s fourth-minute penalty.
Iceland equalised within a minute as England failed to deal with a trademark long throw and Ragnar Sigurdsson bundled home from close range.
England’s shameful performance was summed up by Iceland’s 18th-minute winner.
Keeper Joe Hart failed to stop Kolbeinn Sigthorsson’s weak shot and it trickled into the back of the net.
There was no way back from there as Hodgson’s shocking outfit failed to really cause Iceland any major problems in response.
Hodgson made changes as Iceland dug in, but the underdogs had as many chances as England before the final whistle blew on their Euro 2016 hopes and his four-year tenure as manager.
Thursday, June 30: Poland v Portugal (8pm)
Friday, July 1: Wales v Belgium (8pm)
Saturday, July 2: Germany v Italy (8pm)
Sunday, July 3: France v Iceland (8pm)