Pallier has competed in three Paralympics, firstly in Athens in 2004 where he competed in the T13 100m, F13 long jump and was part of the French T11-13 4 × 100 m team. In Beijing in 2008 he made a second more successful appearance, after the F12 long jump he won a bronze medal as part of the French team in the T11-13 4 × 100 m relay. At the 2020 Tokyo Paralympics he competed in the T11 long jump, at the age of 50.