Iceland proved to be one of the biggest surprises of Euro2016, making it to the quarter-finals against all odds, and Sigurdsson believes that several of his national teammates are capable of playing alongside him in England's top flight.
"All of the players want to play in the Premier League," Sigurdsson said.
"I think it's about being in the right place at the right time. If someone wants to take a chance, then I would definitely say give them a go. They are good guys, good personalities and good players."
Of the Iceland national team, which will now set itself for 2018 World Cup qualifiers under sole manager Heimir Hallgrimsson, the attacking midfielder added: "It's been a fantastic three or four weeks for us and it's up to the players if they want to experience this again.
"We've got the qualifiers coming up for the Russia World Cup and I hope we can go all the way there.
"I'm pretty sure Heimir will do a good job even if it is sad seeing someone like Lars Lagerback leaving. He was part of something special."