Preheat the oven to 375F. Place the shallots, garlic, and white beans in a large cast iron skillet or oven safe pan. Pour the chicken broth over it all. Place the chicken thighs on top, skin side up. Pour the olive oil over the chicken thighs. Sprinkle the lemon zest, brown sugar, salt, and pepper on the chicken. Transfer to the oven and bake for 25-40 minutes, depending on the size of the chicken thighs, until the internal temperature reaches 165F.