[2] On 1 April 2017, while still a youth, he made his senior debut with the reserves by starting in a 12–0 Segunda División B home routing of CD Eldense.
[5] Back at the B-team for the 2019–20 campaign, Puig acted as a backup to Iñaki Peña before leaving on 30 June 2020 as his contract expired.
[8] A third-choice behind fellow new signings Amir Abedzadeh and Lucho García, he made his club debut on 1 December, starting in a 2–0 away success over CP Cacereño in the season's Copa del Rey.
[11] After sharing the starting spot with Adrián Ortolá, he moved to fellow league team Sestao River Club on 31 July 2023.
[12] On 12 July 2024, Puig signed a two-year contract with La Liga side Girona FC, being initially assigned to the B-team in Tercera Federación.