"We had a process underway for a while to try to find buyers for the company. Now we'll have to start again, we'll contact potential buyers and see where we land," Norman told financial daily Dagens Industri.
"You have to understand that the Swedish, Norwegian and Danish states have invested more than 10 billion kronor ($1.5 billion) in 10 years," he recalled, saying it would be "unreasonable to pump more billions into the company."
Norway and Denmark have also tried to sell their stakes for several years, but the company has attracted little interest among buyers owing to its high costs.
Stockholm agreed on Monday to make a loan to help SAS finance a vast restructuring plan.
The company's eight unions have agreed to the plan aimed at turning SAS' dire finances around through wage and job cuts, an administrative reorganization, divestments and outsourcing.
"My assessment is that before the agreement it was almost impossible to sell, but now I think the chances are better," Norman said.
He would not identify by name any potential buyers of a slimmed-down SAS.
"It could be the same buyers (that showed interest before), but it could also be new ones," he said.