American leaders have largely shied from interfering in individual business decisions, instead relying on competitiveness to keep American companies ahead in a global market. But Mr. Trump’s focus on job protection, tariffs and the dictating of terms to business leaders is closer to the more mercantilist outlook that Mr. Ma, Mr. Son and Mr. Gou see to varying degrees in China, Japan, Taiwan and other places in Asia.

“They see where this guy Trump is coming from, and, at a visceral level, identify with him,” said Alberto Moel, an analyst at Sanford C. Bernstein.

“It plays directly into their style,” he said. “These guys are political animals. They live in Asia, where things are different. There’s more autocracy and more connected transactions. In the U.S., people still expect things to be fair.”

The Asian executives come from a region Mr. Trump accuses of using unfair trade practices and stealing American jobs — and all three have a lot to lose. It is not clear whether their lofty promises will lead to better treatment from the Trump administration.

Alibaba, which has shares that trade in the United States, has been under fire there for the fakes that proliferate on its Chinese sales platforms. It also has an eye toward expanding into places like Hollywood. Mr. Son’s SoftBank owns Sprint, the American telecom company, and has long desired to expand.

Foxconn — a Taiwan-based company with many factories in China — assembles iPhones and other gadgets for Apple, which Mr. Trump has said should make its products in America. Foxconn also has plants in Mexico that benefit under the North American Free Trade Agreement.

A SoftBank spokesman said, “Mr. Son was greatly encouraged by the economic agenda of the new administration, and he intends to invest significant resources in the U.S. in the years ahead.” A Foxconn spokeswoman said that the company was evaluating an investment in America and that it expected a new American project would create “many direct and indirect job opportunities.” An Alibaba spokeswoman declined to comment.