Rodríguez signed with the Los Angeles Angels as an international free agent on July 4, 2014.[1] He spent his professional debut season of 2015 with the DSL Angels, going 0–6 with a 4.59 over 51 innings. He split the 2016 season between the DSL and the AZL Angels, going a combined 4–2 with a 1.53 ERA over 58+2⁄3 innings. He split the 2017 season between the Orem Owlz and the Burlington Bees, going a combined 5–3 with a 2.91 ERA over 68 innings.[2] He was named the Pioneer League Pitcher of the Year.[3]
Rodríguez made the Tigers' Opening Day roster for the 2022 season.[9] He made his MLB debut on April 10, 2022, pitching in relief against the Chicago White Sox. On the season, he made seven appearances for the Tigers (five of them starts), and scuffled to an 0–4 record and 10.62 ERA with 25 strikeouts in 29.2 innings pitched. On November 10, Rodríguez was removed from the 40-man roster and sent outright to the Triple–A Toledo Mud Hens.[10] He elected free agency the same day.[11]
Tampa Bay Rays
On January 18, 2023, Rodríguez signed a minor league contract with the Tampa Bay Rays organization.[12] In 10 starts for the Triple–A Durham Bulls, he registered a 3.40 ERA with 48 strikeouts in 45.0 innings of work. On July 7, the Rays selected Rodríguez's contract, adding him to the active roster.[13] He tossed 3+1⁄3 perfect innings against the Atlanta Braves that night in his season debut. The following day, Rodríguez was designated for assignment after it was revealed he had agreed to a deal with a Japanese team earlier in the week.[14] On July 9, Rodríguez was released by the Rays.