Hodgson farewell: I don't know why I'm here

Adding to the sense of huge embarrassment around the England camp, Hodgson, 68, who had resigned after the match, told the press conference: "I don't really know what I'm doing here."

Now former England coach Roy Hodgson, centre, and chief executive of the English Football Association Martin Glenn, right, during a press conference in Chantilly, France on Tuesday.   -  AP

England on Tuesday surveyed the wreckage of its humiliating Euro 2016 exit as now former coach Roy Hodgson agonised over a defeat that added to the nation's sense of post-Brexit turmoil.

Iceland, the smallest nation ever to play in a major tournament, erupted in celebration after sending England crashing out with a 2-1 win on Monday that ranks among football's biggest ever shocks.

The defeat left English football at a low point and Hodgson, in a highly awkward press conference, struggled to explain how his team of Premier League stars had collapsed.

"I didn't see the defeat coming," Hodgson said.

"I didn't see, and neither did the players, the sort of performance we gave last night that saw us knocked out."

Adding to the sense of huge embarrassment around the England camp, Hodgson, 68, who had resigned after the match, told the press conference: "I don't really know what I'm doing here."

Rooney denies players lost faith in Hodgson

Captain Wayne Rooney meanwhile insisted that reports the senior players had lost faith in the outgoing manager were "completely untrue".

Asked about the claims, Hodgson said: "If it was true then they disguised it well from me and the coaching staff. We had no indication from the players that they were anything but behind what we were doing, behind the game plans that we had."

Rooney gave a full-strength England the perfect start with a fourth minute penalty, but Hodgson's men rapidly ran out of ideas against a nation ranked 34th in the world.

Ragnar Sigurdsson and Kolbeinn Sigthorsson claimed their place in sporting history with the goals for Iceland.

The Times newspaper said England had been "utterly clueless".

Goalkeeper Joe Hart, who let the second Iceland goal squirm under his fingers, said the humiliation had left English football "in a low place".

"We will get a lot of flak and we deserve it," said the Manchester City stopper.

Former England striker Alan Shearer said it was "the worst performance I have seen from an England team".

Gareth Southgate early favourite to replace Hodgson

England Under-21 coach Gareth Southgate was the early favourite to replace Hodgson.

But Southgate comes with baggage on the international stage -- as a player he missed the crucial spot kick against Germany when England last reached the semi-finals of a major tournament at Euro '96.

Glenn seeks cure for 'brittle' England

Glenn praised the outgoing coach, telling him the Iceland loss should not define his reign, but conceded a pivotal task awaits as he prepares to select a successor with the help of technical director Dan Ashworth and former Manchester United chief executive David Gill.

"It is important we get this right," he said.

"It's important that we make the right decision. We are going to be canvassing opinion from former managers, former players to make sure that we get a lot of wisdom. We don't need to throw the baby out with the bath water. There are a lot of good things being done with the England team that we can build on.

"But there is not denying the perennial problem that, at the business end of a tournament - and we are in the tournament business - England seem brittle.

"We need to understand why that is. It's not a particular issue Roy Hodgson's had to face, people before Roy have faced it too.

"It's our commitment to say in future tournaments that every game, every match, every half we will punch our weight.

"We will go to tournaments as contenders and get over this brittleness, where we can hit a banana skin and under deliver against the potential of what is a great squad and a very well-resourced team."

Welsh joy

England's neighbour in the United Kingdom also enjoyed its discomfort -- an online video showed Wales' players celebrating wildly. Unlike England, Wales, spearheaded by Real Madrid star Gareth Bale, can look forward to a quarter-final against Belgium on Friday.

Iceland meanwhile was celebrating pulling off one of the biggest shocks in football history and has a date with host nation France on Sunday after reaching the last eight in its first ever participation in the Euros.

Captain Aron Gunnarsson, who plays for Cardiff in the English league, said the country of 330,000 people had been turned "upside down".

Icelandic commentator Gudmundur Benediktsson, whose screaming disbelief went viral after Iceland defeated Austria last week, again went ballistic at the end of Monday's match.

"This is over! Never wake me up! Never wake me up from this crazy dream! Iceland... is going to Stade de France... on Sunday!"

The tournament now looks forward to the first last-eight match between Poland and Portugal in Marseille on Thursday.

Portuguese winger Nani, who took up the slack when superstar Cristiano Ronaldo was off-key at the start of the tournament, dismissed suggestions that his team was playing the brand of defensive football that handed Greece the European title in 2004.

"I do not see it like that. We've played four games and Portugal cannot be compared to Greece," Nani said.

"We have an objective which is to win the title and we will do everything to achieve it."

In the most attractive-looking quarter-final, Italy faces Germany in Bordeaux on Saturday.