On March 13, 2024, the Padres traded Iriarte, Steven Wilson, Drew Thorpe, and Samuel Zavala to the Chicago White Sox in exchange for Dylan Cease. Upon his acquisition, he was optioned to the Triple–A Charlotte Knights.[10] However, Iriarte began the year with the Double–A Birmingham Barons, compiling a 5–7 record and 3.71 ERA with 122 strikeouts over 23 games (22 starts). On September 1, Iriarte was promoted to the major leagues for the first time.[11]
Iriate made his Major League debut on September 3 in a relief appearance against the Baltimore Orioles, going one inning, allowing one hit, walking two, and giving up one earned run. He ended his night with one strikeout, the first of his career, against Colton Cowser.[12] In six appearances for the White Sox during his rookie campaign, Iriarte compiled an 0-1 record and 1.50 ERA with six strikeouts over six innings of work.
Iriarte was optioned to Triple-A Charlotte to begin the 2025 season.[13] In 35 appearances (five starts) for the Knights, he struggled to a 2-3 record and 7.24 ERA with 48 strikeouts and one save over 46 innings of work. Iriarte was designated for assignment by the White Sox on February 1, 2026.[14] He cleared waivers and was sent outright to Charlotte on February 6.[15]
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