At the 1954 FIBA World Championship in Rio de Janeiro, Brazil, Lóczi averaged 7.0 points per game over five tournament games. At the 1955 FIBA European Championship in Budapest, Hungary, he averaged 8.2 points per game over nine tournament games. On June 10, 1955, he scored a national team-high 16 points in a win over England. At the 1957 FIBA European Championship in Sofia, Bulgaria, he averaged 2.8 points per game over eight tournament games.