An outstanding right-hand pitcher, Spitzer played for the University of Missouri at St. Louis from 1970 to 1973. He helped UMSL advance to the NCAA Division Two College World Series in 1972 and 1973. As a senior in 1973, he was named to the All-Region team, finishing the year with a then single season record of 68 strikeouts which still ranks fifth in UMSL history. In 1972, he recorded 67 strikeouts which still ranks sixth on the UMSL single season charts. He received All-District honors in 1972 and 1973. He has the fourth lowest ERA in UMSL history. Spitzer ranks second in career strikeouts, fifth in wins, and seventh in total innings pitched. In 1973, he pitched twelve consecutive innings during the NCAA regional playoffs. In 2016, Spitzer was inducted into the UMSL Sports Hall of Fame. He pitched for Hazelwood High School in the late 1960s. In 1969, he was the leading pitcher on the Hazelwood American Legion team that won the District 10 title. He was the winning pitcher of the championship game against Maplewood. He was selected to the American Legion District 10 all-star team in 1969. Spitzer pitched in the St. Louis County League from 1970 to 1976. He was with the CHASA Jets from 1970 to 1973, and the Geigher Collegians from 1974 to 1976.