Preheat your oven to 425°F (218°C).
In a small bowl, combine the Greek yogurt, lemon zest and juice, minced garlic, and chopped fresh herbs. Season with a pinch of salt and pepper, and mix until smooth to create the creamy lemon herb sauce.
Place the chicken breast on a lightly greased baking sheet. Brush with half of the olive oil and season with salt, pepper, and a sprinkle of herbs.
On a separate baking tray, toss the fresh green beans with the remaining olive oil, salt, and pepper.
Roast the chicken and green beans in the oven. The green beans should roast for about 15 minutes until tender and slightly crisp, while the chicken bakes for 20-25 minutes until it reaches an internal temperature of 165°F (74°C).
Once cooked, slice the chicken breast and serve alongside the roasted green beans. Drizzle generously with the creamy lemon herb sauce.
Enjoy your meal warm, appreciating the contrast of tender, juicy chicken with vibrant, crisp green beans and a bright, creamy dressing.