Overall in 2018, Wright pitched innings over 20 appearances (including four starts), compiling a 3–1 record and 2.68 ERA. He also picked up his only MLB save on September 16, 2018 against the Mets. Initially included on Boston's postseason roster, Wright was removed and replaced by Heath Hembree for the ALDS and beyond due to his previous knee injury. The Red Sox went on to win the World Series over the Los Angeles Dodgers.