Start by preheating the oven to 400 degrees Fahrenheit (200 degrees Celsius). Line a large baking sheet with parchment paper or aluminum foil.
Next, peel and slice the carrots into a coin shape. Toss the carrot slices in the oil, a pinch of salt, and pepper. Set aside.
Then, in a small bowl, whisk together honey, garlic, soy sauce, apple cider vinegar, and red pepper flakes (if using).
Next, pat the chicken dry with paper towels. Season both sides lightly with salt and pepper and place the chicken on the baking sheet.
Now, add the carrots around the chicken on the baking sheet and spoon about half of the honey garlic sauce over the chicken. Save the rest of the honey garlic sauce for later.
Place the baking sheet into the oven on the top rack for about 15 minutes.
After the 15 minutes, take the baking sheet out of the oven and flip the carrots and the chicken. Make sure that the chicken is not laying on any of the carrots and that the carrots aren't on any of the pieces of chicken. Spoon a little more sauce on the chicken, but save a small portion of the sauce for the end.
Bake for about 15 more minutes, or until chicken reaches an internal temp of 165 degrees Fahrenheit (74 degrees Celsius) and the carrots are tender.
Lastly, drizzle any remaining honey garlic sauce on the chicken and garnish with fresh parsley or even sesame seeds (optional) and enjoy! :)