In a large skillet, melt 2 tablespoons of butter over medium heat. Season the chicken thighs with salt, pepper, thyme, and paprika. Place the chicken thighs skin-side down in the skillet and cook for about 7-8 minutes until the skin is golden brown. Flip and cook for another 5-7 minutes until cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the remaining 2 tablespoons of butter. Add the minced garlic and sauté for about 30 seconds until fragrant.
Add the green beans to the skillet and toss them in the garlic butter. Cook for about 5-6 minutes until they are tender but still crisp.
Squeeze the lemon juice over the green beans and add the lemon zest. Stir to combine.
Return the chicken thighs to the skillet, nestling them among the green beans. Cook for an additional 2-3 minutes to heat through.
Garnish with fresh parsley before serving.