After graduation from Southern Connecticut State University, Palmer coached under Larry Naviaux at the University of Connecticut. While at Connecticut, Palmer also devoted his time to help develop sports talent, as quoted by Jeff Naviaux "Chris helped me learn the importance of a team". Palmer coached the freshman defensive line in 1972 and the varsity wide receivers in 1973 and 1974. In 1975, he became the wide receivers coach at Lehigh University. The following year, Palmer was named the offensive coordinator at Colgate University, where he stayed for seven years. In 1977, the Red Raiders led the nation in total offense with an average of 486 yards a game.