01 - Whisk together eggs, heavy cream, salt, and pepper in a medium bowl until well combined and uniform in color.
02 - Heat a nonstick skillet over medium heat. Add a small amount of butter and pour in just enough egg mixture to coat the bottom, swirling the pan to create a thin, even layer. Cook for 1-2 minutes until set, then carefully flip and cook an additional 10-20 seconds. Remove from pan and repeat with remaining egg mixture to create approximately 4 wraps.
03 - Lay each egg wrap flat on a clean surface. Spread 1 tablespoon of dressing across the center of each wrap. Layer evenly with chopped corned beef, a spoonful of sauerkraut, and shredded Swiss cheese.
04 - Tightly roll each wrap around the filling, starting from one end and rolling securely to enclose the contents. For melted cheese, return roll ups to the warm skillet for 1-2 minutes. Slice each roll in half, garnish with fresh parsley if desired, and serve immediately while warm.