Peraza played for Cuba in the 1996 World Junior Baseball Championship, hitting .429 with 20 total bases in 21 at-bats and 8 RBI.
In the 1997 World Junior Championship, he again led Cuba to Gold, hitting .500 and slugging .875 with 10 runs and 9 RBI in 5 round-robin games.
He tied Loidel Chapellí and Osmani Urrutia for the league lead in RBI and was three homers behind leader Reinier Yero.
He tied Yohenis Cespedes for third in home runs, trailing Alexei Ramírez and Joan Carlos Pedroso.
His dominant performance helped him win World Port Tournament Most Valuable Player honors.
He was 2 for 7 with a long 3-run homer against Thailand as Cuba won Silver, its first time falling short of Gold in a Baseball World Cup in 25 years (and in 1982, it was because they sat out).
In the Cuban All-Star Game, he hit a walk-off homer against Jorge Longo in the bottom of the 9th to give his Occidentales a 6-5 win over the Orientales.
Peraza backed up Michel Enríquez at DH for Cuba in the 2009 World Baseball Classic and batted cleanup twice.
He was 4 for 9 with a homer and 3 runs in the event, putting him third on the Cuban squad in average, slugging, OBP and OPS behind Frederich Cepeda and Yoenis Céspedes.