[1] Alvarado made his league debut for the club on 20 July 2020, coming on as an 88th-minute substitute for Omar Ontiveros in a 1–0 away victory over the San Diego Loyal.
[2] On 6 September 2021, recently promoted to the Portuguese Primeira Liga side Vizela announced the signing of Alvarado on a five-year contract.
[3] Alvarado made his debut for Vizela on 20 November 2021, starting in a 2–0 home win over Estrela da Amadora in the Taça de Portugal.
[4] He made his Primeira Liga debut a month later, on 28 December, coming off the bench in the final minutes of a 2–0 defeat away at Marítimo.
[6] On January 14, 2025, Alvarado returned to the United States, signing a two-year deal with San Diego FC ahead of their inaugural season.