The Ferencváros his professional career. In the professional team played between 1961–1968, a period which is the club's history after World War II was one of the most successful. Varga has 135 career appearances, 53 goals shot. The club became champion in 1962 and '63, 1964, 1967 and 1968 NB I-season as well.
In these years, Frade, as one of Europe's best club teams, qualified for the Inter-Cities Fairs Cup series called the International Festival of the major European Football Confederation tournament as well. Today's successor to the European leagues.
In 1962-63 seasons in the semi-finals in a row Varga, and two years later, 1964-65-they won it. Success is not interrupted in 1967, 68 in the runner. Since the Mexican Olympic Games, Varga left the country, so successfully ended the era of Ferencváros. Hungarian club did not play any more players.
Between 1969 and 1972, the German Hertha BSC scored nine in 34 games, 26 games for Aberdeen in Scotland (where he is still considered by many to be the finest foreign import ever to play for the club) scored ten of the Netherlands Ajax 12 games scored two goals, the German side Borussia Dortmund 51 games scored 10. Last was a team player in the Belgian Gent.
Between 1964 and 1968 he had been included in the Hungarian national team 12 times and scored 2 goals. In 1964, Spain's European Championship team bronze medal for the author made his debut as a member of the team. In 1966 he participated in the World Cup in England, but could not play due to an earlier injury.
He received a gold medal as member of Hungary's Olympic Team in the Tokyo Olympic Games, in 1964. During the 1968 Olympics in Mexico City he had left the Hungarian Team Camp before the matches and did not return to Hungary.
On Friday evening of 9 April 2010, in the playing field of Danuvia, Zoltán Varga played in an old-boys football match as long as his health condition was getting rapidly worse. Therefore he was laid down to gain relief, interrupting the match. Soon after, he had fallen down in a faint and his player mates tried to resuscitate but neither they nor arriving ambulance were able to help him any more. He died at the age of 65.