Preheat oven to 450 degrees Fahrenheit.
Using a food processor or molcajete, process or mash the garlic, oregano, olive oil, lime juice, salt and pepper until coarse and well mixed, yet not completely pureed.
Rub the garlic mixture all over chicken and place skin side down on a non-stick baking sheet. If you don’t cook right away, you may marinate the chicken up to 24 hours, covered in the refrigerator.
Place in the oven and bake for 15 minutes. Remove from the oven and reduce temperature to 375 degrees. Flip over the chicken pieces, pour the chicken broth on the bottom of the sheet, and return to the oven for 45 minutes or until chicken is cooked through and the juices run clear when pierced with a knife.