01 - Whisk together eggs, heavy cream, salt, and pepper in a medium bowl until well combined and frothy.
02 - Heat a nonstick skillet over medium heat with a small amount of butter. Pour enough egg mixture to coat the bottom, swirling to form a thin crepe. Cook for 1-2 minutes until set, then carefully flip and cook for 10-20 seconds more. Remove and repeat with remaining batter to make approximately 4 wraps.
03 - Place each egg wrap on a clean surface. Spread 1 tablespoon of dressing across the center of each wrap.
04 - Distribute chopped corned beef evenly over the dressing, followed by a spoonful of sauerkraut and a generous sprinkle of shredded Swiss cheese on each wrap.
05 - Tightly roll each wrap around the filling, starting from one end and tucking in the edges as you roll to secure the contents.
06 - Return the roll ups to the warm skillet for 1-2 minutes to melt the cheese and heat through completely, turning occasionally.
07 - Slice each roll up in half diagonally, sprinkle with chopped parsley if desired, and serve immediately while warm.