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Preheat oven to 400F.
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Cook potato gnocchi according to package directions. Drain, and transfer to a large bowl.
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Melt 2 tablespoons butter in a large pot or dutch oven over medium-high heat. Add ham to pot and cook until ham is browned, stirring frequently.
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Use a slotted spoon to transfer ham to the bowl with gnocchi.
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Wipe dutch oven clean.
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Melt remaining 4 tablespoons butter in the dutch oven over medium-high heat. Add flour. Cook, whisking constantly, until the mixture is a light golden brown, about a minute.
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Add milk to the flour mixture, slowly. Bring to a boil. Whisk strongly to break up any lumps.
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Add salt and pepper. Lower the heat to warm. Slowly add shredded Gryere and half the Parmesan, whisking until melted.
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Pour the cheese sauce over the ham and gnocchi.
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Stir in the thawed peas.
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Spray 11×7″ baking dish with cooking spray. Transfer mixture to baking dish.
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Sprinkle the remaining Parmesan cheese over the ham and gnocchi mixture.
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Bake in oven until bubbly and golden brown, about 20 minutes. Serve warm and enjoy!
