March began his career at the age of 15 in low-class FIS races , where he continuously improved his results and was on the podium for the first time in January 2004. Shortly thereafter, his first of a total of three appearances at Junior World Championships followed. There he placed 19th in the top quarter of the starting field and was also the third-best Italian. Already in March 2004 the South Tyrolean made his debut in the World Cup in Bardonecchia , and although he was 57th, he clearly missed a top position, but still received his first World Cup points. In the following years March came to regular appearances in the competition series of adults, but did not achieve a result in the top 20 until the beginning of 2008, but the 20-year-old achieved eighth place in the parallel giant slalom at the 2006 Junior World Championships.
Despite the successes in the junior sector and his 29 World Cup starts until October 2009, Aaron March was "practically unknown". At the beginning of the 2009/10 season , however, he finished fourth in the parallel slalom in Landgraaf . With this result, the South Tyrolean also qualified for the 2010 Winter Olympics in Vancouver , for which he was nominated as one of eleven Italian snowboarders . At the Olympics March did well as 15th in the parallel giant slalom; He was the only athlete in his country to make it to the round of 16 and lost the duel there against the later silver medalist Benjamin Karl from Austria. A month later March and Karl competed against each other again, in the final of the World Cup in Moscow. This time the Italian won the race, benefiting from a driving error by his rival. At the age of 23, March achieved his first victory in the 37th World Cup race. Due to this success he finished seventh in the overall ranking of the parallel competitions at the end of the season.
In October 2010, Aaron March finished on the podium again at the 2010/11 winter season opener . Behind the Austrian Andreas Prommegger and his teammate Roland Fischnaller , he finished third in the parallel slalom in Landgraaf, where he had achieved his first World Cup top ten result a year earlier.