In many ways, Yogendra Puranik is an immigrant success story.
Mr. Puranik, 45, joined the initial wave of Indian tech workers who went to Japan in the early 2000s. He became a Japanese citizen and in 2019 won elected office in Tokyo, a first for anyone from India. This year, he was hired as the principal of a public school.
Now, though, as Japanese companies scramble to lure more highly educated Indians like Mr. Puranik to fill a yawning…