The Dodgers added González to their 40-man roster on October 31, 2019. He was called up to the MLB roster for the first time on July 30, 2020. González made his major league debut on July 31 against the Arizona Diamondbacks. He appeared in 20.1 innings in 15 games (one start) for the Dodgers in 2020, winning three games and finishing with a 1.33 ERA and 23 strikeouts with only three walks. In the postseason, González pitched innings across eight games and allowed two runs on five hits and four walks while striking out five. He was the winning pitcher in the deciding Game 6 of the 2020 World Series. On April 17, 2021, González picked up his first big league save against the San Diego Padres.