Juice lemons & press/mince garlic cloves.
Pour juice, garlic, oil & salt into a gallon-sized zip-top bag. Seal & mix well.
Add the chicken to the bag, then seal again, being mindful to release as much air as possible. Flip a few times & rub to coat the chicken well.
Refrigerate for 4-8 hours. Flip halfway through.
Prep the grill to cook via indirect heat. For gas grills, preheat somewhere between 375-400F and only use the burners on one end. For charcoal grills, get the coals lit and ready, then push them to one side.
Remove the breasts and place the chicken skin side down over the direct heat. Cook to lightly crisp the skin, uncovered, for 3-5 min.
Once the skin has a sear, use long-handled tongs to transfer the breasts to the indirect heat side of the grill, also flipping to be skin side up. Close the lid, vent open, and cook for ~45 minutes, or until the thickest part of the breast reads 165F on a thermometer.
Transfer the chicken back to the direct heat with the tongs and cook, uncovered, for a final brief blast on the skin side.
Remove to a platter and let sit for a few minutes to cool before serving.