After playing in the
Colo-Colo youth teams since he was young, Suazo made his first-team debut for the club on 19 July 2015 in a
Copa Chile match against
Deportes Concepción. After nine seasons with Colo-Colo, Suazo signed for French
Ligue 1 club
Toulouse on 16 January 2023. He became the second Chilean footballer to play for them after
Jorge Infante in the 1970s. He helped his side win the
Coupe de France in his first season, assisting a goal in Toulouse's 5–1 win over
Nantes in the
final. On 12 July 2025, Suazo joined
Sevilla on a deal for three seasons. ==International career==