Minter was optioned to Triple-A Gwinnett on Monday.
Minter struggled in the majors last season with a 7.06 ERA and 2.01 WHIP over 29.1 innings, which resulted in a trip to the minors. The 26-year-old will begin 2020 with Triple-A Gwinnett due to the Braves' abundance of bullpen options, but it wouldn't be surprising to see Minter back in the major-league bullpen if injuries occur.