Born in Santa Cruz de la Sierra, Chávez began his career at Club Bolívar.
[1][2] On 7 June 2023, Chávez scored his first goal in the Libertadores, concluding a 2–0 win over Cerro Porteño of Paraguay at the Estadio Hernando Siles to make it to the last 16.
[4] In December, Bolívar also won the 2023 Copa de la División Profesional; Chávez received one of six red cards in an added-time brawl against C.D.
[7] He made his debut against the latter in his hometown, starting in the goalless draw; manager Gustavo Costas praised his performance.
[8] Chávez was called up by former Bolívar manager Antonio Carlos Zago in the squad for the 2024 Copa América in the United States.