On October 11, Estrada made his first career postseason start, and held the Texas Rangers to 1 run over 6, earning the win as the Blue Jays avoided elimination. He started game 1 of the 2015 American League Championship Series, taking the loss as the Blue Jays were shut out by the Kansas City Royals, 5–0. Down 3–1 in the series, Estrada started game 5 for Toronto on Oct. 21 and held Kansas City to 1 run over 7, avoiding elimination for the second time in the 2015 postseason with a 7–1 victory. He faced the minimum number of hitters through 6, the longest such streak for an American League starting pitcher in a postseason game since Don Larsen's perfect game in 1956.