Palmieri scored his second of the game off a redirection from the slot on a power play to tie it 3-3 at 11:05 of the third period. Hanifin had given the Hurricanes a 3-2 lead off a snap shot from the left hash marks at 3:39.
"Keith stood on his head and gave us a chance, special teams came through when it mattered and Noesen had a huge goal," Palmieri said. "It wasn't our greatest game, execution-wise or defense-wise, but this time of the year you have to try and find a way to do whatever it takes.
"It was an emotional game with some ups and downs but [Kinkaid] was solid and gave us a chance."
Palmieri scored a power-play goal on a wrist shot from the right circle at 14:07 of the second period to tie it 2-2.
Di Giuseppe and Foegele scored in the first period when the Hurricanes took a 2-1 lead. Di Giuseppe scored off a wrist shot from the top of the left circle at 11:41 to make it 1-1, and Foegele scored at 16:53. Foegele had a goal and an assist in his NHL debut Monday, a 4-1 win against the Ottawa Senators.