Food Network teaches how to crush, slice and mince garlic. Peel off some of the papery skin from the garlic and then smash the head of garlic with the heel of your hand to loosen the cloves; if you only need a few cloves, leave the head intact and pull some off. Separate the cloves. To peel a clove, cut away the root end with your knife. Lay the flat side of the knife over the clove while holding the knife handle, then with the heel of your free hand carefully whack the knife against the garlic to separate the skin from the clove. To crush the peeled garlic, lay the flat side of the knife over the clove and smash it again. To slice peeled garlic, lay the clove flat on the cutting board and hold it with the fingertips of one hand, keeping them curled under. Using a rocking motion with the knife, make thin slices by moving the knife slowly across the clove. To mince peeled garlic, lay the flat side of a knife over the clove and smash it. Roughly chop the clove then move your free hand flat across the tip of the knife and use a rocking motion to chop the garlic until it’s finely minced.
Put the chicken in a large nonmetalic bowl. Put the orange and lime zests in a small bowl and add the fruit juices. Whisk in the olive oil, garlic, 1 teaspoon salt, and a generous grind of black pepper. Pour the marinade over the chicken and toss until well coated. Marinate for 20 to 30 minutes but no longer than 45 minutes.
Preheat the oven to 375 degrees F. Put a rack on a rimmed baking sheet. With tongs, remove the chicken pieces from the marinade and arrange them on the rack leaving space between each piece. Drizzle a small spoonful of the marinade over the top of each chicken piece; season well with salt and pepper, to taste. Roast until the chicken is cooked through and the juices run clear when meat is pierced with a knife, about 45 minutes.
Transfer the chicken to a serving platter. Cool slightly before serving or let stand until room temperature before refrigerating for later use.