Cuba national baseball team
He played for the Cuba national baseball team in the 2000 Summer Olympics. Gómez was the team's main center fielder in the competition, as Cuba won the silver medal. Gómez hit .380/.481/.480 in the 2000-01 Cuban National Series. He was well back of the league leader in hitting in a high-average year as Osmani Urrutia hit .431. The left-hander batted .240/.406/.280 in the 2001 Baseball World Cup, again serving as Cuba's main center fielder. He was 1 for 2 with a run in the Gold Medal game 5-3 win over Team USA before leaving for a pinch-hitter. During the 2001-2002 season, he batted .365/.430/.496 and was 7th in average. His 3 triples led the 2002 Super Liga.