Minter was called up to the major leagues for the first time on August 23, 2017.[10][11] In 26 relief appearances for Florida, Rome, Mississippi, and Gwinnett prior to his call up he was 1–2 with a 3.33 ERA. He made his major league debut that night, in the eighth inning of a game against the Seattle Mariners.[12] Minter spent the remainder of the 2017 season with Atlanta, pitching to a 0–1 record and 3.00 ERA in 15 innings in which he struck out 26 batters.[13]
In 2018, Minter pitched 61+1⁄3 innings over 65 games, saving 15, while recording a 3.23 ERA and 69 strikeouts.[14]
Following a fender-bender motor vehicle incident in March, the start of Minter's 2019 season was delayed.[15][16][17] Minter replaced fellow reliever Arodys Vizcaíno as closer due to injury, but lost the role to teammate Luke Jackson by late April. Minter was optioned to the Gwinnett Braves on May 10.[18] He returned to Atlanta in June, then was optioned to Gwinnett for a second time in August as the Braves traded for Shane Greene, Chris Martin, and Mark Melancon.[19][20] Minter ended the season as a September call-up when rosters expanded, but shortly thereafter was placed on the 60-day disabled list.[21][22]
For the 2019 season with the Braves, he was 3–4 with five saves and a 7.06 ERA in 36 relief appearances, in which he struck out 35 batters in 29.1 innings.[23]
Minter started the 2020 season at spring training with the major league team, and was optioned to Gwinnett in March.[24][25] In Game 5 of the 2020 NLCS, Minter made history by becoming the first MLB player ever to make their starting debut in the postseason. He pitched three innings, surrendering only one hit while striking out seven batters, also a record.[26]
In 2020 he was 1–1 with an 0.83 ERA, with 24 strikeouts in 21.2 innings over 22 relief appearances.[23]
On July 18, 2021, Minter was optioned to Triple-A Gwinnett following the Braves 7-5 loss to the Tampa Bay Rays.[27]
In 2021 with Atlanta he was 3–6 with a 3.78 ERA in 61 games.[23] The Braves finished with an 88–73 record, clinching the NL East, and eventually won the 2021 World Series, giving the Braves their first title since 1995.[28]
On January 13, 2023, Minter signed a one-year, $4.2875 million contract with the Braves, avoiding salary arbitration.[29]
On January 11, 2024, Minter again avoided the salary arbitration process, agreeing to a one-year, $6.22 million deal.[30][31] Minter was placed on the injured list in late May, and revealed that he had left hip impingement the following month.[32] Although he was activated in early July,[33] Minter returned to the injured list in mid-August with the same issue,[34][35] and planned to undergo surgery.[36] He was transferred to the 60-day injured list on August 20, effectively ending his season.[37] Overall, Minter finished with a 5–4 record and 2.62 ERA with 35 strikeouts across 39 games.
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