On January 21, 2021, Quezada was selected 68th overall in the 2021 MLS SuperDraft by Los Angeles FC.[2] Quezada was officially signed by the MLS side on April 24, 2021.[3]
On May 5, 2021, Quezada was loaned to LAFC's USL Championship affiliate side Las Vegas Lights.[4] Quezada made his professional debut the same day, starting in a 5–0 loss to LA Galaxy II.[5] Quezada was released by Los Angeles following the 2021 season.[6]
On February 4, 2022, Quezada signed with Las Vegas Lights ahead of their 2022 season.[7]
After trialing with Memphis 901 during their 2023 season, he signed a multi-year deal with them on January 11, 2024.[8] The club folded after the 2024 season
After Memphis suspended operations following the 2024 season, Quezada signed with El Paso Locomotive.[9]