The Marlins added him to their 40-man roster after the 2018 season.[3] He opened the 2019 season with New Orleans.[2] On April 23, he was promoted to the major league roster for the first time.[4] He made his major league debut on April 24, pitching 2⁄3 of an inning in relief.[5] His first decision was a loss to the Chicago Cubs on May 8 that year; he allowed a walk-off solo home run to Jason Heyward in the 11th inning.[6] He was optioned to New Orleans three days later.[7] On February 3, 2020, Quijada was designated for assignment by the Marlins.
Los Angeles Angels
Quijada was claimed off waivers by the Los Angeles Angels on February 10, 2020.[8] On September 11, 2020, Quijada surrendered a walk-off grand slam to Charlie Blackmon of the Colorado Rockies. On the year, Quijada pitched to a 7.36 ERA with 6 strikeouts in 3+2⁄3 innings pitched.[9] On July 30, 2021, the Angels recalled Quijada from the Triple-A Salt Lake Bees.[10] On October 1, 2021, in a game against a Seattle Mariners team attempting to make the playoffs for the first time in 20 years, Quijada entered the game with baserunners on first and third and no outs. He proceeded to strike out all three batters, thwarting an opportunity for Seattle to take the lead and win the game, greatly hurting the team's chances of making the playoffs.[11] In 2021, Quijada made 26 appearances, posting an 0–2 record, 4.56 ERA, and 25+2⁄3 innings pitched.[12]
In 2022, Quijada pitched in 42 games for the Angels, registering a 3.98 ERA with 52 strikeouts and 3 saves in 40+2⁄3 innings of work. For the 2023 season, Quijada made 10 appearances, struggling to a 6.00 ERA with 8 strikeouts and 4 saves before he was placed on the injured list on April 29, 2023.[13] On May 3, it was announced that Quijada would require Tommy John surgery, ending his season.[14]
Quijada was activated from the injured list on July 22, 2024, in order to make his return from surgery.[15]