On June 11, 2018, Muñoz signed with the Atlanta Braves as an international free agent. He made his professional debut that year with the Dominican Summer League Braves, logging a 6.88 ERA in 10 appearances. Muñoz returned to the club in 2019, making 14 starts and compiling a 3.77 ERA with 67 strikeouts across 62 innings pitched.[1] He did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[2]
Muñoz returned to action in 2021 with the Single–A Augusta GreenJackets. In 8 games (6 starts), he recorded a 6.67 ERA with 33 strikeouts across 29+2⁄3 innings of work.[3] Muñoz split the 2022 campaign between the High–A Rome Braves and Double–A Mississippi Braves. In 22 starts between the two affiliates, he accumulated an 8–4 record and 4.66 ERA with 119 strikeouts across 100+1⁄3 innings.[4]
On November 15, 2022, the Braves added Muñoz to their 40-man roster to protect him from the Rule 5 draft.[5] Muñoz was optioned to the Triple-A Gwinnett Stripers to begin the 2023 season.[6] In 14 games for Gwinnett (and 1 start for Double-A Mississippi), Muñoz registered a 4.94 ERA with 24 strikeouts in 27+1⁄3 innings of work. On June 6, 2023, Muñoz was promoted to the major leagues for the first time.[7] He was optioned back to Gwinnett on June 8 after Michael Tonkin was activated from the injured list. In turn, he became a phantom ballplayer, having spent time on Atlanta's active roster without appearing in a game.[8] On July 13, Muñoz was designated for assignment following the promotion of Lucas Luetge.[9]
Washington Nationals
On July 17, 2023, Muñoz was claimed off waivers by the Washington Nationals.[10] In 12 games (10 starts) for the Triple–A Rochester Red Wings, he struggled to a 6.98 ERA with 41 strikeouts across 38+2⁄3 innings of work.
Miami Marlins
On December 1, 2023, Muñoz was claimed off waivers by the Pittsburgh Pirates.[11] On December 15, Muñoz was designated for assignment by Pittsburgh following the acquisition of Edward Olivares.[12]
On December 20, 2023, Muñoz was traded to the Miami Marlins in exchange for cash considerations.[13] He was optioned to the Triple–A Jacksonville Jumbo Shrimp to begin the 2024 season.[14] On April 20, 2024, Muñoz was promoted to the major leagues for the first time.[15] In 18 games (17 starts) for Miami, he compiled a 2–7 record and 6.53 ERA with 70 strikeouts across 82+2⁄3 innings pitched.
Muñoz's identical twin brother, Rolddy Muñoz, is also a professional baseball player, and is currently a member of the Atlanta Braves organization.[17]