The star rookie has missed three games after suffering a knee injury when he got tangled up with Canadiens centre Jesperi Kotkaniemi in Montreal on Jan. 3.
Green says Pettersson’s status is now considered "day-to-day."
The coach says the 20-year-old centre had a good 40-minute skate on Tuesday and will hopefully skate with his teammates before the Canucks host the Edmonton Oilers on Wednesday night.
Asked whether Pettersson could play in the contest, Green said he’s "not ruling anything out right now."
Pettersson leads the Canucks in points with 22 goals and 20 assists this year. He also sits atop the NHL’s rookie scoring race, up 11 goals and 16 points from his nearest competition, Colin White of the Ottawa Senators.