After losing in salary arbitration in February, Holtzman had an 18–14 record for the 1975 A's as they won their fifth straight American League Western Division title. On June 8, against the Detroit Tigers, he had what would have been his third career no-hitter broken up with two out in the ninth by a Tom Veryzer double. He would have become the third pitcher (after Cy Young and Jim Bunning) to pitch no-hitters in both leagues. Holtzman lost Games 1 and 3 of the ALCS to the Boston Red Sox as the A's were swept. He was fourth in the AL in games started (38), sixth in hits allowed per 9 innings pitched (7.33), and seventh in wins.