Malik's departure comes as sexual harassment and assault allegations have rolled through media companies, Hollywood and Silicon Valley.
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The newspaper said Malik and his lawyer, Mark Lerner, did not respond to requests for comment. The Associated Press left messages Saturday for an attorney named Mark Lerner, who specializes in employment law in New York.
Malik was a speaker at a conference founded in part by former White House communications chief Anthony Scaramucci. A biography for the conference said Malik was the global head of capital strategy for Bank of America, selecting hedge funds for the firm to partner with.
Malik also was a corporate lawyer and had worked in the U.S. Senate and House of Representatives, the biography said.