After starting out at Defensor, he went on to spend the vast majority of his career in Spain, notably making 295 competitive appearances for Getafe.

Born in Montevideo, Suárez spent four seasons at his hometown club Defensor Sporting after joining as an 11-year old,[3] winning the 2008 Uruguayan Primera División.

[12] Suárez scored his first goal in the Spanish top flight on 30 March 2014, through a penalty kick for the first in a 1–1 away draw against Villarreal CF.

[14] On 20 April 2022, after taking the field in the 2–0 away defeat of RC Celta de Vigo, Suárez became Getafe's player with the most appearances in the top tier at 191.

[16] Suárez agreed to a two-year contract with Campeonato Brasileiro Série A side Botafogo de Futebol e Regatas on 9 February 2024.