Perhaps he's keeping a low profile. After all, he is being investigated by the SEC, FBI and the DOJ.
From Quayle's Wiki page:
In 1999, Dan Quayle joined Cerberus Capital Management, a multibillion-dollar private-equity firm, where he serves as chairman of the company's Global Investments division. As chairman of the international advisory board of Cerberus Capital Management, he recruited former Canadian prime minister Brian Mulroney, who would have been installed as chairman if Cerberus had successfully acquired Air Canada. In early 2014 he traveled to Belfast, Northern Ireland, in an attempt to speed approval for a deal where Cerberus acquired nearly £1.3 billion in Northern Ireland loans from the Republic of Ireland's National Asset Management Agency. That deal is being investigated by the Irish government, and Quayle's involvement is being investigated by the US Securities and Exchange Commission, the Federal Bureau of Investigation, and the United States Attorney for the Southern District of New York as potentially a "very serious" misuse of the vice president's office.