to make the marinade, combine the garlic,lemon juice,rosemary,a good pinch of salt, some black pepper and the olive oil in a small bowl and blend well.
place the chicken pieces in a large shallow dish.Pour two-thirds of the marinade over the chicken,reserving the remainder to baste the vegetables.Cover the chicken and refrigerate for at least 2 hours(overnight,or even for 2 nights,is ideal).
light the barbecue or preheat a gas barbecue.
when the coals are medium-hot, arrange the chicken on the grill,adding darkmeat first and breast meat last.Move the pieces around so that they cook evenly.if the barbecue has lid,cover and cook the chicken pieces over indirect heat.