Whisk together the coconut aminos, honey, minced ginger, garlic, arrowroot powder, and water in a small bowl until the sauce is smooth.
Season the diced chicken breast evenly with the sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the skillet and sauté until golden brown and cooked through, which should take about 6 to 8 minutes.
Transfer the cooked chicken to a plate and add the broccoli florets and sliced carrots to the same skillet with a splash of water.
Cover the skillet for 2 minutes to allow the vegetables to steam until they are tender-crisp and bright green.
Return the chicken to the skillet and pour the prepared teriyaki sauce over the chicken and vegetables.
Toss everything together for 1 to 2 minutes until the sauce thickens into a glossy glaze that coats every piece.
Remove from heat and serve immediately, garnished with a sprinkle of sesame seeds.