The Blue Jays signed Ramírez as an international free agent outfielder on March 5, 2009, and assigned him to the Dominican Summer League Blue Jays. In 52 games, he recorded a.229 batting average, three home runs, and 14 runs batted in. Ramírez played the entire 2010 season with the Rookie-levelGulf Coast League Blue Jays, appearing in 47 games and hitting.205 with two home runs and 12 RBI. He continued to progress through the Blue Jays' minor league system, playing 40 games for the Rookie AdvancedBluefield Blue Jays of the Appalachian League in 2011. He hit.232 with two home runs and nine RBI on the season. Ramírez began the 2012 campaign with Bluefield, and was promoted to the Short Season-AVancouver Canadians in July. He appeared in 52 total games and hit.250 with three home runs and 25 RBI. In 2013, Ramírez made his full-season baseball debut with the Class-ALansing Lugnuts, where he appeared in a career-high 114 games and hit.228 with seven home runs, 41 RBI, and 14 stolen bases. In the offseason, Ramírez played in five games with the Leones del Escogido of the Dominican Winter League. Ramírez began the 2014 season with Lansing, hitting.176 through his first 28 games. In May, it was suggested that he switch positions from outfielder to pitcher, and was sent to extended spring training to work with Dane Johnson. Ramírez was assigned to Bluefield on June 17, and spent the remainder of 2014 pitching out of the bullpen there. In 17 appearances, Ramírez posted a 1–0 win–loss record, 2.62 earned run average, and 24 strikeouts in 34 innings. He was assigned to Class-A Lansing to begin the 2015 season, and was promoted to the Advanced-ADunedin Blue Jays in May. After struggling with Dunedin, Ramírez was moved back to Lansing in June, where he finished the year. He made 34 total relief appearances in 2015, and pitched to a 2–3 record, eight saves, a 4.76 ERA, and 37 strikeouts in 39 innings. He elected free agency after the season, but re-signed with the Blue Jays on November 21. Ramírez spent the entire 2016 season with Dunedin, appearing in 30 games and posted a 3–0 record, 2.20 ERA, 41 strikeouts, and nine saves in 41 total innings. He opened the 2017 season with the Double-ANew Hampshire Fisher Cats, where he did not allow an earned run in 23 relief innings. In August, Ramírez was promoted to the Triple-ABuffalo Bisons, where he added another 14 innings without allowing an earned run.
On August 31, 2017, Blue Jays' manager John Gibbons announced that Ramírez would be called up on September 1. He made his debut that night, pitching two scoreless relief innings in Toronto's 1–0 loss to the Baltimore Orioles. Ramirez was designated for assignment on May 13, 2018.
Oakland Athletics
On May 20, 2018, Ramírez was claimed off waivers by the Oakland Athletics. He was designated for assignment on August 1 and became a free agent at the conclusion of the season.
