Greene began the 2015 season with the Single-ALansing Lugnuts, where he posted a 7–3 win–loss record, 3.88 ERA, and 65 strikeouts in 671⁄3 innings, before being promoted to the High-ADunedin Blue Jays.[2] He debuted for Dunedin on July 4 and took the loss, allowing four runs on nine hits.[5] On August 6, Greene set a career-high in strikeouts, with 10, while pitching seven shutout innings for Dunedin.[6] He was then promoted to the Double-ANew Hampshire Fisher Cats, and took the win in his debut on August 13, pitching six shutout innings against the Akron RubberDucks.[7] Greene made 26 starts in the 2015 season, posting a combined 12–7 record, 3.54 ERA, and 115 strikeouts in 1321⁄3 innings.[2]
Greene was invited to Major League spring training on January 12, 2016,[8] and reassigned to minor league camp on March 10.[9] Greene was assigned to the Dunedin Blue Jays to open the 2016 minor league season.[10] He was promoted to Double-A New Hampshire in early July, and pitched his first career complete game and shutout on July 26, defeating the Harrisburg Senators 1–0.[11] Greene made 27 total starts in 2016, and pitched to a 10–9 record, 3.51 ERA, and 99 strikeouts in a career-high 1461⁄3 innings.[2] After the 2016 season, the Blue Jays assigned Greene to the Mesa Solar Sox of the Arizona Fall League.[12] He made four starts for Mesa. He struggled with his control, walking 11 batters in 10 total innings.[13] Greene spent all of 2017 with New Hampshire. In 1322⁄3 innings (26 games with 25 being starts), Greene went 5–10 with a 5.29 ERA and 92 strikeouts. He continued to struggle with his command, issuing 83 walks.[2] On November 20, 2017, Greene was added to Toronto's 40-man roster.[14]
On November 26, 2018, Greene was claimed off waivers by the Kansas City Royals.[20] Greene split the 2019 season between the Double-A Northwest Arkansas Naturals and the Triple-A Omaha Storm Chasers, recording a cumulative 4–9 record and 5.13 ERA in 29 appearances. Greene was designated for assignment by Kansas City on November 20, 2019.[21] Greene did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[22] He became a free agent on November 2, 2020.[23]
Baltimore Orioles
On December 3, 2020, Greene signed a minor league contract with the Baltimore Orioles organization.[24] Greene was assigned to the Triple-A Norfolk Tides to begin the 2021 season. Greene posted a 1–3 record and a 7.39 ERA in 9 appearances with Norfolk. On July 24, 2021, Greene was selected to the 40-man roster and promoted to the major leagues for the first time.[25] Greene made his MLB debut on July 27, pitching in relief against the Miami Marlins. He pitched two innings, giving up one run and striking out two.[26] On August 7, 2021, Greene was designated for assignment by the Orioles.[27]
Los Angeles Dodgers
Greene was claimed off waivers by the Los Angeles Dodgers on August 9, 2021.[28] He pitched in two games for the Dodgers, allowing two hits with no runs in two innings before he was designated for assignment on August 20.[29]
Baltimore Orioles
On August 23, 2021, Greene was reclaimed off waivers by the Orioles from the Dodgers.[30]
Greene pitched in 24 games in 2021, posting a 7.11 ERA with 26 strikeouts.
On March 14, 2022, Greene re-signed with the Orioles organization on a minor league contract that included an invitation to Spring Training.[31] In 16 games for the Triple-A Norfolk Tides, he struggled to a 10.61 ERA with 18 strikeouts across 18+2⁄3 innings pitched. The Orioles organization released Greene on June 20.[32]
On February 12, 2024, Greene was traded to another team , Guerreros de Oaxaca of the Mexican League.[33] However, on February 23, Greene signed a minor league contract with the Houston Astros. Conner Greene will likely start the upcoming season playing for the Sugar Land Space Cowboys at the Triple-A level.[34] Conner Greene had a strong season, finishing with a record of 6 wins and 3 losses and a 4.68 ERA. He played 34 games as both a relief and starting pitcher, totalling 57.2 innings and recording 59 strikeouts. On November 6, he elected free agency.[35]
Personal life
Greene is an avid surfer, and has also worked as a model. He is friends with actor Charlie Sheen, and made several minor appearances on the television series Anger Management.[36]