Facebook CEO Mark Zuckerberg speaks at Facebook Inc's annual F8 developers conference in San Jose, California, May 1, 2018. Stephen Lam | Reuters

Despite Facebook's weakening stock price and ever-growing list of scandals, don't expect CEO Mark Zuckerberg to lose his role as the company's chairman anytime soon, according to multiple experts on corporate governance. Calls for Zuckerberg to vacate his dual role as chairman and be replaced by someone independent have increased following a turbulent year for the company. In 2018, Facebook has endured multiple scandals, a 30-million user data breach, declining and stalling growth in key markets, an executive exodus and the worst stock performance since going public in 2012.

"Boards that are fed up with a CEO can just fire them, but when you have a controlling CEO, you can't do that," said Lawrence Cunningham, a professor of corporate governance at George Washington University. "You can push them around a little bit, but ultimately, he calls the shots." Removing Zuckerberg and installing an independent chairman would give more independence to the board, potentially allowing it to provide the company with more oversight and accountability. Zuckerberg would still have plenty of power as the company's majority vote holder, but the separation of the roles could be a first step in rebuilding trust with the public and provide a quick boost to the company's stock price, the experts said. "It would be a huge positive for external relations to have another significantly powerful voice in the boardroom," Cunningham said.

Le board, c'est moi

Despite these calls, there is almost nothing that the Facebook board can do to push Zuckerberg out as chairman, experts told CNBC. Here's why. Zuckerberg could fire any board member who tries to lead a coup.The crux of the problem: Facebook's board is the only entity with the power to decide who serves as Facebook's chairperson. But Zuckerberg still has more than 51 percent of the voting power in Facebook's dual-class stock structure. As Facebook's majority vote holder, Zuckerberg has the ability to remove any director "with or without cause," according to the company's bylaws. That means Zuckerberg can fire any director if he so much as gets the feeling that any of them might want to make a motion to vote for a new chairman.