Darling, 28, was 18-5-5 with a 2.38 goals-against average and .924 save percentage in 32 games (27 starts) this season as the backup to Corey Crawford. He's 39-17-9 with a 2.37 GAA, .923 save percentage and four shutouts in 75 NHL games (64 starts), all with Chicago.
Darling played in five Stanley Cup Playoff games in 2015, helping the Blackhawks win the Stanley Cup.
"We could count on Scott in any situation as he was always reliable," Blackhawks general manager Stan Bowman said. "We appreciate his contributions to the Blackhawks organization -- including a Stanley Cup Championship team -- and we wish him well as he continues his career in Carolina."
Cam Ward and Eddie Lack were the Hurricanes goalies this season, when Carolina tied for 26th in the NHL with a .901 in save percentage. Ward and Lack are signed through next season.
Ward, 33, started 61 games and went 26-22-12 with a 2.69 goals-against average, .905 save percentage and two shutouts. He has spent his entire 12-year NHL career with the Hurricanes and signed a two-year contract prior to the start of this season.
Lack, 29, played 20 games (18 starts) and went 8-7-3 with a 2.64 goals-against average, .902 save percentage and one shutout. He was acquired in a trade with the Vancouver Canucks at the 2015 NHL Draft.
Darling was selected by the Arizona Coyotes (No. 153) in the 2007 NHL Draft.
The third-round pick Chicago acquired originally belonged to the Ottawa Senators. It was part of the trade that sent forward Viktor Stalberg to Ottawa.