Leicester goalkeeper Kasper Schmeichel (@kschmeichel1) tweeted: "Come on England!!! You're behind!! Do something! Run around!! Tackle someone!!! Anything!!!"
He added: "Fair play to Iceland!!! 100 per cent fully deserved!!"
Joe Hart is likely to face questions over his role as England's No 1
Former England striker Gary Lineker (@GaryLineker) said: "The worst defeat in our history. England beaten by a country with more volcanoes than professional footballers. Well played Iceland."
Anthony Ogogo (@AnthonyOgogo), bronze medallist at the 2012 Olympics, added: "Worst moment as an England fan in my life. At least all the times before we showed bottle, passion, desire. That was embarrassing."
Dele Alli struggled to influence proceedings alongside his England team-mates
Sky Sports pundit and former Liverpool player Phil Thompson (@Phil_Thompson4) said: "Totally embarrassing. Congrats to Iceland, quality with passion and commitment."
Ragnar Sigurdsson (centre, obscured) scored Iceland's equaliser
Former England international Rio Ferdinand (@RioFerdy5) said: "What a sporting achievement for Iceland. But gone into a tournament not knowing the best team. Did the shape suit the players? Not for me."
Crystal Palace chairman Steve Parish (CEO4TAG) said on Twitter: "Can some one please tell me what the plan was? No pace, width or guile, we created nothing #EnglandVsIceland"
Roy Hodgson handed in his resignation shortly after the final whistle in Nice
Iceland international Eidur Gudjohnsen (Eidur22Official) said on Twitter: "Staying in france for a while #EURO2016 #AframIsland"
His Iceland team-mate Alfred Finnbogason (@A_Finnbogason) added: "Football is coming home....... To Iceland"
Former AFC Wimbledon striker Adebayo Akinfenwa (@daRealAkinfenwa) said on Twitter: "Watched the England game on the plane & all I can say is Wow. Have to give props where props is due, well done Iceland. #EnglandNotAGoodLook"
Former England striker Alan Shearer (@AlanShearer) said: "England - Shocking. Pathetic. Inept. Well done Iceland, you were brilliant. #ENGICE"
(Left to right) Wayne Rooney, Dele Alli and Eric Dier look on after Iceland's second goal
Former Manchester United goalkeeper and Euro '92 winner Peter Schmeichel (PSchmeichel1) said: "Well done Iceland, France is up next time and they have not impressed anyone. #SemiFinal4Iceland"
Former Arsenal midfielder Ray Parlour (@RealRomfordPele) said: "Wow still in shock. Bloody hell that was awful. Need Eileen drewery back"
Sky Sports Spanish football expert Guillem Balague (@GuillemBalague) said: "What a disappointing day. Or is it? Shouldn't we celebrate the fact that teams that made the best of what they have went through? #admirable"
Ryder Cup and PGA Tour golfer Justin Rose (@JustinRose99) said: "Sad night for @England in the [football] Good luck @andy_murray @Wimbledon tomorrow.... #Wimbledon #ENG"
Visit URL to see videos with this article