In the National Hockey League, Ziggy Palffy did not have the pleasure of playing for many good teams, as he was only in the playoffs for three of his twelve seasons in North America. Still, in a career split with the New York Islanders and Los Angeles Kings (and a final NHL campaign in Pittsburgh), Palffy had five seasons of 85 Points and averaged 1.04 Points per Game. Palffy could have had a longer career in the NHL, but after a brief retirement, he played for the Slovak Extraliga for years.