Quartaro was an assistant coach at several colleges, including Northwestern, Hobart College, Kansas State under Bill Snyder, and Kansas (Offensive Coordinator) under Mark Mangino. He was the 22nd head college football coach for the Drake University Bulldogs located in Des Moines, Iowa, a position he held for two seasons, from 1987 until 1988. His coaching record at Drake was 12 wins, 8 losses, and 0 ties, which ranks him ninth at Drake in terms of total wins and third at Drake in terms of winning percentage.