His last game with the national team came a month later when he came on for fellow Saint Louis University alumnus Al Trost in a 3–0 loss to Canada.
After finishing his career at St. Louis, he joined the Boston Minutemen of the North American Soccer League (NASL).
That year, the Fever went to the MISL championship series, losing to the New York Arrows, despite goals from Counce.
From 1987 to 1991, Counce served on the United States Soccer Federation Executive Committee and the MISL Board of Directors from 1986 to 1991.
On January 15, 1997, the Rapids hired Counce as the team's General Manager after its first season in Major League Soccer.
However, just two years later, AEG sold the Rapids to Kroenke Sports and he resigned at the conclusion of his contract in January 2005.