Fleury was a restricted free agent and had an arbitration hearing scheduled for Nov. 8.
The 24-year-old rearguard appeared in 45 regular-season games for the Hurricanes in 2019-20, contributing four goals and 10 assists while logging 13:40 of average ice time. Fleury saw an uptick in usage in the playoffs, averaging 16:17 of ice time while contributing two goals over eight contests.
Carolina drafted Fleury seventh overall in 2014.
The Hurricanes have just over $3 million in projected cap space with only one outstanding restricted free agent in forward Warren Foegele. The 24-year-old has a salary arbitration date set for Nov. 4.