No Closed Season
Practically non-existent in the wild except by private stocking; classified as a legal game bird by statute with no closed season. Source: eRegulations (SECONDARY, VFWD-linked digest partner); VFWD's own page confirms near-absence/stocking status but doesn't itself publish the 'no closed season' detail.
Confirmed absence: per VFWD's own framing, chukar is 'practically non-existent in the wild except by private stocking' in Vermont. No population survey of any kind exists for what is not an established wild population.