The former Iceland and Stoke boss claims he would bring in Terry Butcher as his right hand man, should he be handed the role at Tynecastle.
Thordarson currently manages in his native Iceland at IA Akranes, but a return to British shores clearly appeals.
He told the Scottish Sun: "Things really got rolling when the Hearts board realised I could bring along people like Terry.
"When I said Butcher wanted to be my assistant they seemed impressed and it's a fact he would join me."
Thordarson's son Toddy Gudjonsson, who is IA Akranes' chief executive, has previously insisted Hearts had not made an official approach for his father.
However Thordarson, 52, claims there has been contact through his agent, and he would be willing to take the job if the working conditions are right.
"If people are ambitious in their proposals I'm willing to look into them," he said. "But I'm not losing sleep over this."