The aviation safety regulators are looking into the allegations made by the pilots' union against the airline.
Jozsef Varadi, the boss of Wizz Air, Europe's third-largest budget carrier, sparked fury from pilots' unions this week for comments he made in an all-hands meeting.
"We are all tired, but sometimes it is necessary to take the extra mile," he said.
Varadi said that canceling flights was hurting the airline's reputation.
Wizz maintains that his comments were taken out of context.
The Financial Times reported that the European Cockpits Association, which represents 40,000 pilots in 33 European countries, wrote a letter to the European safety regulator about Wizz Air's deficient corporate culture.
The European Union Aviation Safety Agency and the association confirmed that the letter was authentic.
The agency understands that fatigue can be a serious safety hazard. We are looking into the allegations to see if further oversight actions are needed.
Wizz didn't reply to Insider's request for comment. The airline has a robust and responsible crew management system.
In its letter the European Cockpits Association said Vradi's comment "reinforces" concerns about the Wizz culture, where crew are pressured to fly on their days off, and to extend flight times under "commanders' discretion".
As the airline continues to expand across Europe, the association created a task force to look into the airline's practices.
The Hungarian airline was founded in 2003 by Vradi and now has over 5,000 staff.
Vradi said that a shortage of crew at airports was the reason for a lot of canceled and delayed flights.