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Position the broiler rack about 4 inches from the heat and turn on the broiler. Spread the salt on a rimmed baking sheet.
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Separate and rinse each oyster and its shell under cold water to remove any debris. Place each cleaned shell onto the prepared baking sheet and place each oyster in a shell. Refrigerate.
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In a food processor, process the butter, spinach, parsley, green onions, garlic, shallot, cheese, salt, Pernod, and lemon zest until smooth. Using a rubber spatula, scrape the mixture into a bowl, add the breadcrumbs, and stir until well combined.
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Remove the baking sheet from the refrigerator. Spoon about 1 tablespoonful of the butter mixture onto each oyster, packing it down slightly. Top each with a little cheese, then broil until the tops are deeply browned, the butter mixture is still green, and the oysters are plumped and firmer, 5 to 8 minutes. If the cheese immediately starts to burn, turn off the broiler and bake at 450°F for the remaining time. Serve immediately with lemon wedges.