Season chicken with salt and pepper and dust with a light coating of flour, shaking off any excess.
Heat 1 tablespoon of butter and olive oil in a large non-stick skillet set over medium-high heat. Add chicken and cook for 3–4 minutes per side, or until golden and cooked through. Remove chicken from pan and set aside.
Add remaining butter, lemon juice, chicken broth, capers, , garlic, Italian seasoning, and paprika (if using) to the skillet. Return skillet to medium heat and bring to a boil while scraping down the brown bits. Add chickpeas and cook for 1-2 minutes, allowing the sauce to simmer and thicken.
Add kale and then the chicken back to the skillet and cook for an additional 2 minutes or until the kale has wilted and the chicken is heated through.
Adjust seasonings as needed and sprinkle with fresh parsley. Alternatively you can pour the sauce over the chicken and garnish with parsley and lemon wedges, if desired.