Wright finally reached the playoffs, as the Rays won a wild card berth and defeated the Indians in the AL Wild Card Game. He made two appearances in the AL Division Series (ALDS) against the Red Sox. In Game 1, he finished a game the Rays trailed 8–2, allowing four runs in the eighth inning of a 12–2 loss at Fenway Park. He relieved Jeremy Hellickson with no outs and the bases loaded in the second inning of Game 4, getting out of the inning with no runs scoring by striking out Jarrod Saltalamacchia and inducing Stephen Drew to hit into a double play. However, Tampa ultimately lost the game 3–1 and was eliminated from the playoffs. After the season, he became a free agent.