Nutbrown also coached extensively with the Canadian National Team program alongside coaches such as Ken Shields and John Dore. He was the head coach for Canada at the XVII World University Games (or 1993 Summer Universiade), leading Canada to a 5-2 record and a berth in the tournament final against the dominant host country United States. In that year's tournament, the United States roster featured future NBA players including Damon Stoudamire, Michael Finley, Ed O'Bannon, Sharone Wright, Eric Piatkowski, and Carlos Rogers, averaged 40 more points than its opponents and had six players averaging in double figures. The United States entered the final with a cumulative 18-game winning streak and overall record of 90-6 in the event.