1. Preheat broiler with rack 8 inches from heat source. Cook bacon in a skillet over medium heat until crisp, about 8 minutes. Drain on paper towels. Keep warm.

2. Whisk together 2 eggs, 1 tablespoon cream, 1/2 teaspoon parsley, 1/4 teaspoon salt, and pepper.

3. Combine flour and a pinch of salt and pepper. Dredge oysters in flour mixture, shake off excess, and transfer to a plate.

4. Heat 1 tablespoon butter in an 8-inch ovenproof skillet over medium-high heat until foamy. Add half the oysters, and cook, flipping once, until golden, about 3 minutes total.

5. Reduce heat to medium, and pour egg mixture over oysters in skillet. Cook until bottom is set, about 1 minute. Place skillet under broiler, and broil until top and center are just set, 30 seconds to 1 minute. Slide omelet onto a plate, and top with half the bacon. Serve immediately. Wipe out skillet, and repeat to make another omelet.