Dice the chicken breast into very small, half-inch pieces to ensure they cook quickly and evenly.
In a large pot, combine the chicken broth, coconut aminos, ground ginger, garlic powder, sea salt, and white pepper.
Bring the mixture to a gentle boil over medium-high heat, then carefully add the diced chicken pieces.
Reduce the heat to medium and simmer for approximately 5 minutes until the chicken is fully cooked through and opaque.
In a small bowl, whisk the arrowroot powder and water together until no lumps remain to create a smooth slurry.
Slowly stir the slurry into the simmering soup and continue to cook for 1-2 minutes until the liquid thickens slightly.
In another small bowl, lightly beat the eggs with a fork until the yolks and whites are just combined.
Using a spoon, stir the soup in a circular motion to create a slow whirlpool, then slowly drizzle the beaten eggs into the broth to form delicate ribbons.
Remove the pot from the heat immediately and stir in the toasted sesame oil for aromatic depth.
Garnish the soup with thinly sliced green onions and serve while hot.