On December 30, 1980, Parma made its debut in the ski jumping World Cup . In Oberstdorf he reached the 99th place. At the Ski Flying World Championships 1983 in Harrachov Parma flew to 6th place. On December 18, 1983, he jumped on the podium for the first time from the large hill in Lake Placid and came third on the large hill. On January 14, 1984, he was able to win his first World Cup jumping in Harrachov. At the 1984 Winter Olympics in Sarajevo , he jumped from the normal hill with jumps of 81.0 and 88.5 m to 10th place. From the large hill he reached 23rd place with jumps on 100.0 and 94.0 m. At the parallel Nordic World Ski Championships in Engelberg in 1984 , in which only the team competitions took place, since the individual competitions were part of the program of the Olympic Games, he and the team won the bronze medal.