discomfort in his knee during spring training, Moore was placed on the 10-day disabled list on May 19, 2018. At the time, he was 1–5 with a 7.99 ERA in 10 games with the Rangers. He continued to struggle upon his return, carrying a 7.88 ERA by mid-June, and was moved to the bullpen to focus on improving his pitching technique. Prospect Yohander Mendez took Moore's place in the Rangers' starting rotation. He finished the season with a 3–8 record, a 6.79 ERA, and 86 strikeouts in 39 games and 102 innings with the Rangers. Moore's contract lapsed at the end of the 2018 season, leaving him a free agent. Detroit Tigers On December 4, 2018, the Detroit Tigers signed Moore to a one-year, $2.5 million contract in anticipation that he would follow Mike Fiers as a low-risk pitcher heading into a rebound season. On April 6, 2019, however, in only his second start of the season, Moore exited the mound three innings into a game against the Kansas City Royals, having sprained his right knee while attempting to field a bunt from Royals batter Billy Hamilton. He underwent meniscus surgery on April 14, and three days later, Tigers manager Ron Gardenhire announced that Moore would miss the rest of the MLB season. Prior to his injury, Moore pitched ten shutout innings for the Tigers. Fukuoka SoftBank Hawks On December 26, 2019, Moore signed a one-year, () contract with the Fukuoka SoftBank Hawks of Nippon Professional Baseball (NPB), who were looking to rebuild their pitching rotation after losing Ariel Miranda and Robert Suárez. He was part of a six-man rotation for the Hawks, who won the Pacific League by 14 games. Moore pitched seven shutout innings, including five strikeouts, in Game 3 of the 2020 Japan Series, and the Hawks came within one out of a combined no-hitter in their 4–0 victory over the Yomiuri Giants. He finished the season with a 2.65 ERA in 15 starts with the Hawks. Because professional baseball returned to play in Japan earlier than in the US, Moore was able to pitch 85 innings in 2020, one more than MLB season leader Lance Lynn. Philadelphia Phillies On February 3, 2021, Moore signed a one-year, $3 million contract with the Phillies. He was the first left-handed starting pitcher to begin a season with the Phillies since Cole Hamels in 2015. In his first three starts