The Rangers added Rodríguez to their 40-man roster after the 2020 season. He opened the 2021 season with the Frisco RoughRiders of the Double-A Central. After posting a 1–1 record with a 2.63 ERA and 63 strikeouts over innings, he was promoted to the Round Rock Express of the Triple-A West. With Round Rock he struggled to a 3–3 record with a 8.01 ERA and 37 strikeouts over innings. He spent the 2022 minor league season back with Round Rock, going 4–1 with a 4.27 ERA and 73 strikeouts over 59 innings.
