Since Donald Trump was unexpectedly elected president on Nov. 8, 2016, speculation has swirled about whether another well-known business leader might make a bid for the White House in 2020.

Could that person be Howard Schultz?

Mr. Schultz, the chairman and former chief executive of Starbucks, said on Monday that he was stepping down from the company’s board. Though he did not announce a presidential bid, he acknowledged that he was considering entering politics.

“I intend to think about a range of options, and that could include public service,” he said. “But I’m a long way from making any decisions about the future.”

Although no chief executive has thus far undertaken a formal bid for the White House, and Mr. Trump’s victory may well prove an historical anomaly, many have been pegged as potential candidates, including Oprah Winfrey; Bob Iger, the chief executive of Disney; and Mark Cuban, the owner of the Dallas Mavericks.