Chief Executive Akbar al-Baker also repeated calls for the United Nations' aviation agency to intervene in the airspace rights dispute.
"We call upon the International Civil Aviation Organisation (ICAO) to declare this an illegal act," al-Baker said in a statement. "We are not a political body, we are an airline, and this blockade has stripped us of the rights which are guaranteed to us."
Saudi Arabia, the United Arab Emirates (UAE), Bahrain and Egypt cut diplomatic and transport ties with Qatar a week ago, accusing it of fomenting regional unrest, supporting terrorism and getting too close to Iran, all of which Doha denies.
Qatar Airways has said it will continue with plans to add 24 destinations between 2017 and 2018, including two in the next month, despite the restrictions that have forced the airline to fly longer routes to avoid the blocked airspace .
"As far as we are concerned, it is business as usual,” al-Baker said.