Jay Varady (born September 16, 1977) is an American former ice hockey player and current assistant coach for the Detroit Red Wings of the National Hockey League (NHL). Prior to joining the Red Wings' organization, Varady coached the Sioux City Musketeers in the United States Hockey League (USHL), the Kingston Frontenacs in the Ontario Hockey League (OHL), and the Tucson Roadrunners in the American Hockey League (AHL). He played college ice hockey for the Union Dutchmen.