Piccard celebrated his first major success at the first ever World Junior Championship in 1982 , where he won the gold medal in downhill skiing. In the World Cup , he drove into the points for the first time on December 10, 1983 with fourth place in the Super-G of Val-d'Isère . His first downhill "top ten" was 8th on January 26, 1985 in Garmisch-Partenkirchen , on On December 15, 1985 in Alta Badia he wrote for the first time with rank 12 in a giant slalom. It was not until January 1988 that he showed constant performance in the speed disciplines again, with 4th place in the downhill in Val d'Isère (with start number 39) on January 9 and 2nd in the Super-G the next day initiated good series. Also in the "Hahnenkamm-Ersatzabfahrt" (January 16) driven in Bad Kleinkirchheim he was again with the high starting number. 39 Third.
His (due) first World Cup victory came on March 23, 1988 in the Super-G at Beaver Creek . At the beginning of his career he mostly competed in downhill and super-G races as well as in combinations, but later also increasingly in giant slalom. Overall, he celebrated four wins in the Ski World Cup and reached eleven podium places. Piccard drove his last World Cup race on February 10, 1996, but then competed in French championships and FIS races in France until 2000 . However, he started on February 23, 1996 in the giant slalom at the World Championships in Sierra Nevada , where he finished 15th with a gap of 5.95 seconds.