Sliwez made his debut in the Freestyle World Cup on December 5, 2003 and immediately achieved tenth place in Ruka . The best result in his first season was a seventh place, in the following winter 2005/06 a fourth place was his best performance. The first podium place in a world cup competition he achieved on December 10, 2006 in Jilin , where he was second. In the 2007/08 season he was only able to achieve one countable result in the World Cup.
Another podium finish achieved Sliwez in the 2008/09 season. At the Winter Universiade 2009 in Yabuli , he was the best non-Chinese in fourth. In 2010 he took part in the Olympic Games for the first time and jumped to 9th place.