Politi spent his first minor-league season with the Lowell Spinners in 2018, appearing in 21 games (all in relief) while posting a 4.34 earned run average (ERA).[3] In 2019, he played for the High-ASalem Red Sox, compiling a 3.55 ERA in 33 games (five starts).[3] Politi did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[4] Politi played in Double-A with the Portland Sea Dogs in 2021, recording a 6.36 ERA in 21 games (15 starts).[3] Politi split the 2022 season between Portland and the Triple-AWorcester Red Sox,[5] posting an overall 4–1 record with eight savess and a 2.60 ERA in 50 appearances (two starts).[3] After the regular season, he played in the Arizona Fall League.[3]
On December 7, 2022, the Baltimore Orioles selected Politi from the Red Sox in the 2022 Rule 5 draft.[6] Politi posted a 6.23 ERA across nine spring training appearances before he was designated for assignment by the Orioles on March 27, 2023.[7] The next day, Politi cleared waivers and was returned to the Red Sox.[8] He spent the 2023 season with Worcester, pitching to a 4.45 ERA with 15 saves while striking out 60 batters in 58+2⁄3 innings.[3]
In 2024, Politi made 11 appearances for Worcester, struggling to a 12.19 ERA with 12 strikeouts across 10+1⁄3 innings pitched. On June 18, 2024, Politi was released by the Red Sox organization.[9]