Reid-Foley was born in Guam while his father, Dave Foley, was assigned there while serving in the United States Coast Guard.

[6] On June 10, 2014, he signed with the Blue Jays for a bonus of $1.128 million,[7][8] and was expected to join extended spring training in Clearwater.

[9] Reid-Foley made his professional debut for the Rookie-level Gulf Coast League Blue Jays on June 27, pitching 2⁄3 of an inning and yielding two earned runs.

[2] Reid-Foley was promoted to the Short Season-A Vancouver Canadians on September 3, 2014, but did not make an appearance during the Northwest League playoffs.

[16] After pitching to a 2.95 ERA through 58 innings,[2] Reid-Foley was promoted to the Dunedin Blue Jays on June 16 to start that night against the Clearwater Threshers.

He and Danny Jansen became the first batterymates to debut in the same American League game since Billy Rohr and Russ Gibson did so in April 1967.

[22] Reid-Foley earned his first major league win on September 2, when he pitched seven innings of one-run baseball and struck out ten batters as the Blue Jays beat the Miami Marlins 6–1.

With the 2020 Toronto Blue Jays, Reid-Foley had five relief appearances, and compiled a 1-0 record with a 1.35 ERA and 6 strikeouts in 6.2 innings pitched.

[25] On January 27, 2021, Reid-Foley was traded to the New York Mets alongside right handed pitchers Yennsy Díaz and Josh Winckowski in exchange for Steven Matz.

[28] After replacing starting pitcher Taijuan Walker in a game on May 17 against the Atlanta Braves, Reid-Foley struck out five batters in three perfect innings and earned his first win of the season.

[34] In 22 combined appearances split between Triple–A Syracuse, the High–A Brooklyn Cyclones, and the Single–A St. Lucie Mets, he posted a cumulative 4.09 ERA with 33 strikeouts in 22 innings of work.

[40] His elder brother, David, was a catcher at Mercer University and signed with the Los Angeles Dodgers as an undrafted free agent in 2013.