In 1976, Eddie founded the boys high school program at Holy Names HS in Montreal. From that point on, the former Dawson College, St.FXU guard Was all in wanting to become a coach.
In 1979, Eddie was hired as an assistant Coach at McGill University, 4 years later Eddie was named Head Coach at McGill helping guide his team to a Quebec championship earning him conference Coach of the Year award in 1983.
In 1984, Eddie was appointed the head coach of the men's basketball program at Bishop's University where he remained until 2008. During his time at BU, Pomykala amassed more than 300 wins in his 24 seasons patrolling the sidelines at the Mitchell Gym. He coached the Gaiters to their only national championship in 1998, when he led the team to a 30-6 overall record (18-2 QSSF) and was named the CIAU Men's Basketball Coach of the Year.
Under Pomykala's leadership, the Gaiters won four Québec Championships, the first coming in 1988, followed by three straight titles from 1997 to 1999. Pomykala holds the distinction of being the only Quebec head coach to win a conference title at two Quebec schools, McGill and Bishop’s. The Gaiters qualified for the playoffs 18 times under his reign, playing in 10 finals, and Pomykala was named league Coach of the Year on six occasions, including three consecutive wins from 1996-1998.
Pomykala's coaching career also includes a five-year term as the head coach of the Quebec Provincial Team and he has also served as an assistant coach with the Canadian National Junior Team from 1989-1991.
Eddie was inducted into the Bishop’s University ‘Wall of Distinction’ in 2012.