[2][3] After two seasons with the club's youth teams, he was given his debut by first-team coach Franco Navarro, who had also managed his father during his time at USMP, when he replaced Hideyoshi Arakaki late into the second half of Deportivo Municipal's 1–0 win against Alianza Universidad.
[5] In July of the same year, following one further appearance in the league, Deportivo Municipal announced that Montaño would be moving to Spain to join the Escuela de Fútbol Huesca.
[8] However, just five months later, while on holiday in Peru, he began training with Sporting Cristal, with a view to join the club permanently ahead of the 2024 season.
In January 2020, he was called up to the Colombian under-16 team for a training camp, before representing the nation in a friendly tournament in Lisbon, Portugal the following month.
[1][11][12] In December 2021, he stated that he had initially wished to represent Peru, but chose Colombia instead as the Peruvian Football Federation had not contacted him.