01 - Whisk together eggs, heavy cream, salt, and pepper in a medium bowl until fully combined.
02 - Heat a nonstick skillet over medium heat. Add a small amount of butter and pour enough egg mixture to coat the bottom, swirling to form a thin crepe. Cook for 1-2 minutes until set, carefully flip, and cook an additional 10-20 seconds. Remove and repeat with remaining mixture to make approximately 4 wraps.
03 - Lay each egg wrap flat on a clean surface. Spread 1 tablespoon of dressing across the center of each wrap, then layer with chopped corned beef, a spoonful of sauerkraut, and shredded Swiss cheese.
04 - Carefully roll each wrap tightly around the filling. Return the roll ups to the skillet for 1-2 minutes if desired to melt the cheese and heat through. Slice each roll in half, sprinkle with parsley if using, and serve warm.