Leverdez started playing badminton at aged 12, and continued after that at the club, then in 2008, he joined France national badminton team. In 2005, he won bronze medal at the European Junior Badminton Championships in boys' doubles event partnered with Matthieu Lo Ying Ping. He won French National Badminton Championships in men's singles event from 2008 to 2015. In 2012, he competed in men's singles event at the Summer Olympic Games held in London. During group stage, he had defeated Edwin Ekiring 21-12, 21-11, but was defeated by Wong Wing Ki 21-11, 21-16. He finished second place in group stage, and did not advance. In 2013, he won gold medal at the Mediterranean Games in men's singles event.