In a large skillet, heat the oil over medium heat.
To the skillet, add the garlic, and chicken. Season with salt and pepper and cook for 5 minutes, until chicken is brown.
Next, add the broccoli and cook an additional 5 minutes, until broccoli is bright green and chicken is cooked through and no longer pink in the center. Set aside.
In a large bowl, mix the remaining ingredients (coconut aminos through carrots) and the chicken and broccoli mixture. Toss and serve.