Close the fireplace insert doors and wait for any fire in progress to burn out. Wait for the insert to cool.
Open the fireplace insert door or doors and reach up into the flue to grasp the damper handle, typically on the right. Push up and inward on the handle, then pull down to close the damper. If the handle will not move, continue troubleshooting.
Turn on and shine a flash light upward to illuminate the damper and handle. If the damper hinge is broken, the damper must be replaced. This typically requires the services of a professional due to the difficulty of reaching the damper inside a fireplace insert. If the damper is attached properly at the hinge, but still will not move, continue troubleshooting.
Remove any obstruction on the louver-hinge mechanism using an old rag. Apply a short burst of lubricant on the hinge and work the damper handle back and forth to loosen the metal damper plate.
Tighten the screw in the handle where it connects to the damper, using a screwdriver. With repeated use, the handle may work itself loose from the damper, causing the part to appear broken. If the handle is separated from the damper, insert the hooked end of the handle into the slot on the damper and tighten with the screw.