Gunarsson who has become an instant hit with the City support for his tough tackling and long throw-ins will be in the Icelandic squad for the World Cup Qualifying games against Macedonia and Holland next month.
Aron Gunnarsson
Michael Mifsud, who missed a penalty in his last appearance for Malta, has been called up by the George Cross island for their games against Portugal and Albania.
Freddie Eastwood has already been called up by Wales.