Preheat your oven to 425°F and line a sheet pan with parchment paper for easy cleanup.
In a small bowl, whisk together the honey, soy sauce, and minced garlic to create the teriyaki marinade.
Place the chicken breast in a resealable bag or shallow dish, then pour half of the marinade over it. Let it marinate for at least 15 minutes.
Meanwhile, chop the broccoli into florets, slice the red bell pepper into strips, and cut the carrot into thin rounds.
Toss the vegetables with olive oil, a pinch of salt, and pepper on the prepared sheet pan.
Place the marinated chicken on the same sheet pan among the vegetables. Drizzle the remaining marinade over the chicken for extra flavor.
Roast in the preheated oven for 20-25 minutes, or until the chicken reaches an internal temperature of 165°F and the vegetables are tender and slightly charred.
Remove from the oven, let it rest for a few minutes, then slice the chicken and serve alongside the roasted vegetables.