Preheat Oven:

Preheat your oven to 400°F (200°C).

Prepare the Potatoes:

In a large bowl, combine the quartered red potatoes with olive oil, Parmesan cheese, minced garlic, salt, and freshly ground black pepper. Toss until the potatoes are evenly coated.

Spread the coated potatoes in a single layer on a large baking sheet.

Roast the Potatoes:

Place the baking sheet with the potatoes in the preheated oven and roast for 15 minutes.

Prepare the Chicken:

While the potatoes are roasting, in the same bowl (no need to clean it), combine the chicken breasts with olive oil, Parmesan cheese, breadcrumbs, minced garlic, salt, and freshly ground black pepper. Toss until the chicken is well coated.

Prepare the Green Beans:

In a separate bowl, toss the trimmed green beans with olive oil, minced garlic, salt, and freshly ground black pepper. If desired, add additional Parmesan cheese for extra flavor.

Add Chicken and Green Beans to the Pan:

After the potatoes have roasted for 15 minutes, remove the baking sheet from the oven. Push the potatoes to one side of the pan to make space.

Place the coated chicken breasts in the cleared space on the baking sheet.

Add the seasoned green beans to the other side of the pan, arranging them in a single layer.

Continue Roasting:

Return the baking sheet to the oven and roast for an additional 20-25 minutes, or until the chicken reaches an internal temperature of 165°F (74°C) and the potatoes are golden and tender.

Serve:

Once everything is cooked through, remove the baking sheet from the oven.

Serve the Parmesan-crusted chicken alongside the roasted potatoes and garlic green beans.