Preheat oven to 425 degrees.
Heat the oil in a large dutch oven on medium-high heat.
Season the chicken with salt and pepper and place them skin-side down in the dutch oven.
Cook the chicken for 5-6 minutes, then flip the chicken over and cook for an additional 2-3 minutes.
Remove the chicken from the heat and set aside.
Reduce to medium heat, then add the onion and cook for 5-6 minutes until translucent.
Add the garlic and cook for an additional minute.
Place the chicken back in the dutch oven, skin-side up.
Add the chicken broth, wine, lemon juice, and lemon zest to the dutch oven.
Cover the dutch oven and place it in the oven. Cook for 20-25 minutes.
Add the kale leaves to the dutch oven and stir. Cover the dutch oven again and cook in the oven for an additional 5-6 minutes.