He was a successful replacement for Jim Leighton but moved on to rivals Rangers in 1996. He made just 20 appearances for the club before he was released in 1999. He played two seasons at MVV before he retired from playing and is a goalkeeping coach in his native Netherlands with FC Twente.
Snelders was a member of the Dutch squad at the 1983 FIFA World Youth Championship. He made his only full international appearance on 22 March 1989 against the USSR. He kept a clean sheet and the Dutch won 2-0 with goals from a Marco van Basten diving header, and a Ronald Koeman penalty. He was an unused substitute with the Dutch team at the 1994 World Cup.