Begin by prepping the chicken: Pat the chicken breast dry and season with salt and pepper on both sides.
Heat a non-stick skillet over medium-high heat with olive oil. Once hot, place the chicken breast in the pan and sear for about 4-5 minutes on each side until golden and cooked through. Remove from heat and let rest.
While the chicken is cooking, peel (if desired) and cut the russet potato into chunks. Boil in lightly salted water until tender, about 12-15 minutes.
In a small pan, sauté minced garlic in a small amount of olive oil or a dab of butter just until fragrant, being careful not to burn the garlic.
Drain the potatoes and return them to the pot. Add the garlic-infused butter along with the sautéed garlic. Mash the potatoes until smooth and creamy. Season with salt and pepper to taste.
Toss the green beans with a little olive oil, salt, and pepper, then roast them in a preheated oven at 425°F for about 10 minutes, or simply steam them until they are crisp-tender.
Plate the dish by placing a scoop of buttery garlic mashed potatoes, topped with slices of pan-seared chicken. Serve alongside the roasted green beans for a balanced and delicious meal.