In the trade announced Wednesday during the Maple Leafs' Winter Classic game against Detroit, the Hurricanes also received the rights to defenceman Dennis Robertson.
The 30-year-old Gleason was the Hurricanes' most physical forward and one of the longest-tenured players on the team. Only captain Eric Staal and 2006 Conn Smythe Trophy-winning goalie Cam Ward have been with the franchise longer.
The 33-year-old Liles has 15 hits and averaged 17 minutes of ice time in six games this season with the Maple Leafs. He was scratched from the Winter Classic.
Carolina general manager Jim Rutherford says Liles is a puck-mover who "can make a difference offensively" from the blue line.
That was something I've been dreaming of, something I've told myself before the third period I was going to do ... It was an amazing feeling. It's hard to describe. I didn't believe it went in at first but when I saw all the reaction and all the fans going crazy and my teammates going crazy, it's just an unbelievable feeling. I didn't know what to do. I didn't know whether to jump or just skate and do a Theo Fleury. I don't think I'm the same caliber player he is so I couldn't do it.
— Flames forward Mikael Backlund on scoring the overtime winner against the Ducks in Gm. 3