On February 10, 2020, the Twins traded Graterol, Luke Raley, and the 67th pick in the 2020 Major League Baseball draft to the Los Angeles Dodgers for Kenta Maeda, Jaír Camargo, and cash considerations. In the pandemic-shortened 2020 season, he appeared in 23 games (two starts) for the Dodgers and allowed eight earned runs in 23 innings, for a 3.09 ERA. In the postseason, he pitched one scoreless inning to pick up the save in the second game of the Wild Card Series and scoreless innings in the second game of the 2020 NLDS. In the 2020 NLCS against the Atlanta Braves, he pitched in four games, allowing three runs in innings and in the 2020 World Series against the Tampa Bay Rays he pitched two scoreless innings over three games as the Dodgers won the championship. On April 1, 2021, Graterol was placed on the 10-day injured list.