Maynor Suazo began his career with top Honduran side Marathón. His play with Marathón did not go unnoticed and in 2000 he was signed by SV Austria Salzburg. He quickly established himself in the Austrian Bundesliga appearing in 23 matches and scoring 1 goal in his first season at the club. For the 2002–03 season Suazo was loaned out to Honduran side Olimpia and helped the club capture the 2002–03 Apertura. He then returned to Salzburg and was once again an important player for the club. In 2004 Suazo was voted player of the year in the Austrian Bundesliga. On 31 March 2006, Suazo was loaned out to Norwegian side SK Brann, in a deal lasting until June 2006. Brann also got the exclusive right to buy Suazo when the loan deal expired. They decided not to buy as Suazo only played 29 minutes in the Norwegian Premier League, the team preferring local lad Helge Haugen in defensive midfield. Suazo returned to Red Bull Salzburg after his loan deal with Brann expired. He believed he had a fair chance to gain a regular spot on the team, after Lothar Matthäus was hired as new coach. However, in July 2006, Suazo was sold to the Turkish clubAntalyaspor in a deal worth €800,000. Suazo made his debut for Antalyaspor in a match versus Çaykur Rizespor on 6 August 2006. In his first season with the Turkish club he appeared in 27 league matches. On 31 July 2007 Suazo moved to German 2. Bundesliga side 1. FC Köln signing a one-year loan deal with an option for a second season. He became the first Honduran to play in Germany. After initially being plagued by injuries during his season in Germany, Suazo became an important player in helping Köln gain promotion to the German Bundesliga during the 2007–08 season. At the conclusion of the season Köln was interested in permanently acquiring Suazo, however Antalyaspor decided to retain him. Upon his return to Turkey Suazo did not appear to be in the clubs plans and also suffered a knee injury. He left the club when his contract expired in June 2009 and joined Real Juventud. During February 2010 he went on trial with New York Red Bulls. New York did not offer Suazo a contract. In September 2010 he moved abroad again to play for Panamese outfit Atletico Veragüense. In summer 2011 he left relegated Hispano for Atlético Choloma and in summer 2012 he was named a possible reinforcement for Vida.