Preheat oven to 375 degrees Fahrenheit and lightly grease a 13x18-inch sheet pan.
Lay 4 boneless skinless chicken breasts out onto the baking sheet evenly spaced apart. Zest 1 medium lemon and set the zest aside. Then drizzle the juice from the lemon over the chicken breasts. Season with 1/2 teaspoon salt and 1 teaspoon lemon pepper.
In a large mixing bowl, combine your quartered potatoes and 2 cups broccoli florets. Melt 3 tablespoons butter and pour it over the vegetables along with 3 tablespoons olive oil, 5 cloves minced garlic, 1/2 cup freshly grated parmesan cheese, 1/2 teaspoon salt, and 11/4 teaspoon black pepper. Toss until evenly coated.
Spread potatoes and broccoli out into an even layer on the sheet pan, surrounding the chicken.
Bake in the preheated oven for 35 to 40 minutes, until chicken reaches an internal temperature of 165℉ and the potatoes and broccoli are fork tender.
Garnish with lemon zest and 1 teaspoon chopped fresh parsley (optional).
Video
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Notes
You can also sprinkle up to a tablespoon of parmesan onto each of the chicken breasts if you want more cheesey goodness. Place it under a broiler for 2-3 minutes just to give the cheese a chance to brown slightly.