Vestergaard began playing badminton in Beder-Malling Idrætsforening, where his parents also played. At the age of 10, he moved with his family to Højbjerg, where he enrolled in a local badminton club. Vestergaard won a bronze medal in the mixed doubles and a silver medal in the women's team event at the
2018 European Junior Championships. Two years later in
2020 European Junior Championships, he won the gold medal with partner William Kryger Boe in the boys' doubles and another gold in the team event. Vestergaard and
Christine Busch won their first BWF 100 title at the
2023 Abu Dhabi Masters after defeating the Singaporean pair
Terry Hee and
Jessica Tan in a rubber game. Shortly after that, the four met again at the
2023 Guwahati Masters, and this time, Busch and Vestergaard had to accept defeat. In 2026, Vestergaard and Busch reached the quarter-finals in the
All England Open by beating World mixed doubles number 1
Feng Yanzhe and
Huang Dongping. The next week after, Vestergaard and Lundgaard advanced to the men's doubles final of the
Swiss Open but lost out to the Taiwanese twins of
Lee Fang-chih and
Lee Fang-jen. == Achievements ==