Jay Varady (born September 16, 1977) is an American former ice hockey player and head coach for the Tucson Roadrunners of the American Hockey League (AHL). Prior to joining the AHL, Varady coached the Sioux City Musketeers in the United States Hockey League (USHL), the Kingston Frontenacs in the Ontario Hockey League, and played collegiate hockey with the Union Dutchmen.
After graduation, Varady coached the Chicago U16 AAA Team for the 2001 season. He then joined the coaching staff of the Pittsburgh Forge, from the North American Hockey League, for the 2002-03 season. The following year, he was an assistant and associate head coach with the Everett Silvertips of the Western Hockey League (WHL). In 2009, Varady was named Team USA's Video Coach for their 2010 World Junior Ice Hockey Championships team.
In 2018, Varady was elected Head Coach of the Tucson Roadrunners of the American Hockey League (AHL). In his first season as head coach, Tucson held a 34-26-5-3 record.