In a small mixing bowl, whisk the large eggs until completely smooth and set aside.
In a medium saucepan, combine the chicken bone broth, coconut aminos, white vinegar, red chili flakes, and the white parts of the green onions. Bring to a gentle simmer over medium heat.
Lightly sprinkle the xanthan gum over the simmering broth while whisking vigorously to prevent clumps from forming. Let it simmer for 2 minutes until slightly thickened.
Reduce the heat to low and stir in the heavy cream to enrich the broth.
Using a spoon or ladle, stir the soup in a slow circular motion to create a gentle whirlpool. Slowly drizzle the beaten eggs into the whirlpool in a thin stream to form delicate ribbons.
Remove the saucepan from the heat immediately to avoid overcooking the eggs. Garnish with the green parts of the chopped green onions and serve hot.