Preheat oven to 400 degrees F. Lightly coat a 9×13 baking dish with nonstick spray.
To make the teriyaki sauce, whisk together cornstarch and 1/4 cup water in a small bowl; set aside. In a small saucepan over medium heat, add soy sauce, brown sugar, garlic, ginger, honey and 1 cup water; bring to a simmer. Stir in cornstarch mixture until thickened enough to coat the back of a spoon, about 2 minutes; let cool to room temperature. Reserve 1/2 cup and set aside.
In a gallon size Ziploc bag or large bowl, combine teriyaki sauce and chicken; marinate for at least 30 minutes to overnight, turning the bag occasionally. Drain the chicken from the sauce.
Melt butter in a large skillet over medium high heat. Add chicken, skin-side down, and sear both sides until golden brown, about 2-3 minutes per side; drain excess fat.
Place chicken, skin-side up, in a single layer into the prepared baking dish. Top with broccoli, carrots and reserved 1/2 cup teriyaki sauce.
Place into oven and roast until completely cooked through, reaching an internal temperature of 165 degrees F, about 25-30 minutes.
Serve immediately, garnished with sesame seeds and green onion, if desired.
Notes
*Boneless, skinless chicken breasts (or thighs) can be substituted.