In June 2016 while still playing collegiate soccer for Duke, Quinn was named to the roster for the 2016 Summer Olympics where Canada won bronze. During the team's first match of the tournament, Quinn subbed in the 23rd minute helping Canada shutout Australia with a 2–0 win. They were in the starting lineup as a midfielder during the team's next group stage match against Zimbabwe resulting in a 3–1 win. During the team's first-ever win against two-time FIFA Women's World Cup champions Germany, Quinn provided the assist to Melissa Tancredi's second goal resulting in a 2–1 win for Team Canada. Finishing in first place in Group F with an undefeated nine points, Canada advanced to the quarterfinals where they defeated France 1–0. Quinn subbed in during the 81st minute to strengthen Canada's defence and maintain the shutout. Canada faced Germany for the second time in the semifinals and were defeated 2–0. Quinn was an unused substitute during the match. The team faced Brazil for the bronze medal match and won 2–1 marking the second time the national team medalled at the Olympics (both bronze and previously won in 2012).