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That happens with Parkers from time to time if they sit too long unused. First try dry-firing the gun and see if that releases the barrels. If not, open the action and spray the hinge area with WD-40. It might need to sit for a while for the WD-40 to do its thing.
Let me know of those options work for you.
Sometimes lubricants can glob up and cause the barrels to stick.