Cut the chicken breast into bite-sized strips and toss them in a bowl with the arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken strips to the pan in a single layer and cook for 3-4 minutes per side until golden brown and crispy, then remove the chicken and set aside.
In the same pan, add the broccoli florets, sliced red bell pepper, and snap peas, sautéing for 4-5 minutes until tender-crisp.
Stir in the minced garlic and freshly grated ginger, cooking for about 1 minute until the aromatics are fragrant.
Return the cooked chicken to the skillet and pour the coconut aminos over the mixture, tossing everything together for 1-2 minutes until heated through and glazed.
Garnish the stir-fry with sesame seeds and thinly sliced green onions before serving immediately.