The Criminal Code Review Board is allowing Li unsupervised leaves from the mental hospital where he has been receiving treatment since being found not criminally responsible for the killing of Tim McLean, 22.
It means Li will be on his own in public for the first time since he stabbed McLean and then ate parts of his body six years ago.
Glover, the government's heritage and official languages minister, said in a statement that the "insensitive" decision "is an insult not only to the family of Tim McLean but to all law-abiding Manitobans."
She said the province should have raised objections as the review board considered whether Li should be granted the extended liberties, and she is calling on the province to appeal its decision to approve them.
Glover's full statement