Light your charcoal grill or preheat your gas grill or oven to medium heat
In a small saucepan, melt the butter over medium heat. Once melted, add the vinegar, water and salt to the saucepan and stir well to combine.
Place the chicken pieces on the grill or in the oven and baste all the chicken. Grill for about an hour flipping every 10 minutes and basting it with the vinegar and butter mixture using a basting brush. Make sure to coat both sides of the chicken. Continue cooking the chicken, brushing it with the vinegar and butter mixture every few minutes.
Cook until the internal temperature reaches 165°F (74°C) and the chicken is fully cooked. Remove the chicken from the grill or oven and let it rest for a few minutes before serving. You can brush the chicken with additional sauce or serve it alongside as a dipping sauce.