Preheat the oven to 450℉.
Arrange the chicken on a large sheet pan and use a paper towel to pat the chicken dry. Drizzle the oil over the chicken, then sprinkle with salt, pepper, and smoked paprika. Toss and rub until the chicken is evenly coated. Spread the chicken in a single layer on pan, then nestle in the sliced lemons. Pour the vinegar and chicken broth over and around the chicken pieces.
Transfer the sheet pan to the oven and roast until the chicken is golden brown, about 30 minutes.
Remove from the oven and add the garlic, capers, and parsley. Using tongs, carefully toss to combine, then continue to cook until the garlic is fragrant and the chicken is cooked through, 5 to 10 minutes.
Remove from oven and transfer the chicken to a serving platter. Pour the pan juices over the chicken. Serve and enjoy!