In 2018, Asensio went to Clemson University to play college soccer. In four seasons with the Tigers, Asensio made 82 appearances and tallied nine assists. He was named ACC All-Freshman Team in 2018, and Second Team All-ACC in 2019, and helped the Tigers win the NCAA Men's Soccer National Championship in 2021.[6]
Professional
Austin FC
On January 11, 2022, Asensio was drafted 35th overall in the 2022 MLS SuperDraft by Austin FC.[7] He officially signed with Austin on February 23, 2022.[8] On November 17, 2023, Austin FC announced they would not exercise the 2024 option for Asensio.[9]
Charleston Battery loan
On July 8, 2022, Asensio was loaned to USL Championship side Charleston Battery for the remainder of the season.[10][11] He made his professional debut the following day, appearing as a 66th–minute substitute during a 3–0 loss to Birmingham Legion.[12]
Austin FC II loan
At the beginning of the 2023 season it was announced that Asensio was being loaned to Austin FC II for their inaugural season.[13] Asensio was the starting left back for Austin FC II when they won the 2023 MLS Next Pro Cup, beating the Columbus Crew 2 by a score of 3–1.[14]