He appeared in 16 games for the Milwaukee Braves during the 1959 and 1960 seasons. He was traded to the Kansas City Athletics on May 11, 1960, for pitcher George Brunet, then pitched in 14 games for the Athletics in 1960 and 1962.
In the major leagues, Giggie compiled a 3–1 win–loss mark and an earned run average of 5.18. In 30 games and 57⅓ innings pitched, he allowed 70 hits and 32 bases on balls. He struck out 32 and registered one save and no complete games. He retired after the 1962 season.