Burke was assigned to AHL Colorado on Sunday.
Burke was called up from AHL Colorado on Friday under emergency conditions.
Carolina acquired Burke from Colorado on Tuesday in exchange for Caleb Jones.
Burke was placed on waivers by the Avalanche on Thursday, according to CapFriendly.
Burke signed a contract extension with the Avalanche on Wednesday.
Burke was called up from AHL Colorado on Wednesday.
Burke signed a one-year, two-way contract with the Avalanche on Tuesday.