Zuccarrello has been out since suffering a non-displaced fracture in his left hand on Feb. 16 while he was playing for his native Norway in the Olympics.
He was to see the doctor later on Thursday before a decision on his status would be made, Rangers coach Alain Vigneault said.
“I feel better,” Zucarrello said. “I feel more comfortable with the puck and in certain situations out there. I feel good.”
Zuccarello, 26, has recorded 15 goals and 28 assists for the Rangers this season.
• Henrik Lundqvist will start against the Hurricanes, Vigneault said.
• Vigneault said Dan Girardi will continue to be a third alternate captain for the remainder of the season, and the coach will figure out who his team captain will be in place of Ryan Callahan when the season ends.
• Carl Hagelin received a maintenance day.