Lars Lagerbäck's final act as Iceland manager was to mastermind an incredible run to the last eight at the Euros from the tournament’s least-fancied team. And midfielder Gylfi Sigurdsson says his boss will always be remembered for what he has done for Icelandic football.

“He is one of the guys that took us to France and the quarter-finals. He will be a legend in Icelandic football history,” the Swansea player told AFP.

“He helped us get to the finals and achieve some of our dreams, so it is very sad that he is leaving and I’m sure we’ll be in contact for the rest of our lives.”

Lagerbäck’s time with Iceland in France was his seventh major finals, having led his native Sweden to five and Nigeria at the 2010 World Cup. He believes the future for Iceland can be bright, even without his expertise.

“Hopefully the FA in Iceland and clubs can take this in, and perhaps use the income from this tournament and put it into a project to help develop young players, I think the future is pretty good,” the manager said.

“If you look upon the whole tournament, as a newcomer, to reach the quarter-finals has been absolutely fantastic.”

The big challenge for the island nation is to replace him. Lagerbäck will now hand over the reins to co-coach and part-time dentist Hemir Hallgrimsson.

“It’s been a fantastic journey these last four-and-a-half years. All the support I’ve got from everywhere I’ve been in Iceland and around the game has been absolutely fantastic,” the Swede said.

“It’s something really, really extra this tournament with all the fans coming here, and what he heard from back home and all the interest and positivity.”

Taking Iceland deep into the knockout stage of their first major finals has made Lagerbäck a coach in demand, with rumours of an offer from England even touted in the British press.

And while the Swede had previously suggested he may retire after Euro 2016, he now appears to be less certain.

“I’m not closing any doors. Right now I can’t think of a 100 percent coaching job, but if someone came with something interesting, of course I would listen,” he told Swedish broadcaster Viasat.