Akbar Al-Baker though refused to say if the Gulf carrier is now lookingtowards a potential sponsorship deal with a team in the English Premier League.
"We are looking at negotiating further with clubs that will give a very good reflection of our brand," said Al-Baker.
He added: "We represent a very strong international brand, recognised all over the world.
"We will look at other opportunities, of course, because sport is a very important branding platform for airlines."
The current deal runs out at the end of next June, bringing the curtain down on a sometimes fractious four-relationship between the Spanish champions and the Gulf carrier.
Some Barcelona club members opposed the deal -- estimated in some quarters to be worth 35 million euros annually -- because of the controversy over Qatar's treatment of migrant workers in the run up to the 2022 World Cup finals, which the Emirate will controversially host.
