Schneider, a New York City native, played for 10 NHL teams during a career that spanned 21 seasons. He won the Stanley Cup with the Montreal Canadiens in 1992-93 and the World Cup of Hockey with the United States in 1996.
The Canadiens selected Schneider, a defenseman, in the third round (No. 44) of the 1987 NHL Draft after his first season with Cornwall of the Ontario Hockey League. He made the Canadiens roster out of training camp that fall but was returned to Cornwall after four games.