Despite fresh calls from investors for Zuckerberg to step down in his dual role as CEO and chairman and appoint an independent director to oversee the board, the 34-year-old tech titan brushed off the suggestion during a Thursday call with journalists. 

"A company with Facebook's massive reach and influence requires robust oversight and that can only be achieved through an independent chair who is empowered to provide critical checks on company leadership," said New York City comptroller, Scott Stringer. 

Zuckerberg disagrees. "I don't think that that specific proposal is the right way to go," said the Facebook CEO when asked if he would consider stepping down, adding that other initiatives had been launched to "get more independence into our systems." 

The measures include creating an independent body to advise the company on decisions over whether controversial content should remain on the site.