Busquets played his first game as a professional on 19 August 2017, starting in a 2–1 away victory over Real Valladolid in the Segunda División.[4] His maiden appearance for the first team came on 29 November, when he started and played 62 minutes in the 5–0 defeat of Real Murcia CF in the round of 32 of the Copa del Rey.[5]
On 9 February 2018, Busquets sustained a serious knee injury in a training session, tearing the meniscus in a fashion similar to fellow youth graduate Rafinha a year earlier.[6] Having returned to active, he scored his first senior goal on 1 December of the same year in a 2–2 home draw with Valencia CF Mestalla.[7]
On 27 August 2019, Busquets joined Dutch Eredivisie club FC Twente on a one-year loan deal.[8] His maiden appearance in top-flight football took place on 1 September when he replaced compatriot Javier Espinosa for the final 15 minutes of a 3–1 home win against FC Utrecht, where fellow Spaniards Aitor Cantalapiedra (Twente) and Adrián Dalmau (Utrecht) also scored.[9]
Clermont
On 28 August 2021, Busquets signed with Clermont Foot on a three-year contract.[10] He played his first Ligue 1 match on 19 September, five minutes in the 1–1 home draw with Stade Brestois 29.[11]
Busquets made only ten competitive appearances during his spell in France.[12]
Arouca
Busquets moved clubs and countries again in summer 2022, joining F.C. Arouca from Portugal on a three-year deal; Clermont did not require any compensation to release him from his contract, but did retain 35% of the player's rights.[13]
Busquets' older brother, Pol, was also a footballer. He played as a goalkeeper, and both he and their father Jordi were developed at Barcelona.[15][16]