But after only one season in the Class D Midwest League, he was selected by the Twins in the first-year player draft then in effect.

[1][2] His first major league game occurred on June 12, 1961, when he started against the Boston Red Sox at Fenway Park.

On June 26, 1964, he had a no hitter going against the White Sox until Mike Hershberger hit a single to center in the top of the ninth inning.

His second one-hitter, which came on April 29, 1967, lacked the suspense of the first, as Arrigo gave up the only hit of the game to the New York Mets' Jerry Grote in the first inning.

[1] Arrigo went on to play his final major league game with the White Sox, his original organization, on June 5, 1970.