The Cardinals made the playoffs in 2014, and Gonzales made his MLB postseason debut, pitching in relief. He recorded three total scoreless innings in the National League Division Series (NLDS) against the Los Angeles Dodgers. He picked up two of the club's three wins, including the series clincher. He pitched another three innings against the Giants in the National League Championship Series (NLCS), giving up three earned runs as the Cardinals were eliminated from the postseason. In December, the Cardinals named him their Minor League Pitcher of the Year.