• Prep. Preheat the grill to medium-high heat. For each foil pack, prepare two sheets of aluminum foil; place the sheets one on top of the other for durability.
• Add the chicken. Place one chicken breast on each stacked pair of foil sheets. Season with salt and freshly ground pepper. Brush each chicken breast with 1 to 2 tablespoons barbecue sauce.
• Add the vegetables. Divide equally and arrange the vegetables around each chicken breast. Season with salt and pepper. Drizzle chicken and vegetables with a little olive oil.
• Seal the foil packets. Fold the sides of the foil over the chicken, covering completely; seal the packets closed.
• Grill. Transfer foil packets to the preheated grill rack and cook for 20 to 25 minutes, or until done, turning once. Chicken is done when a thermometer reads 165ºF.
• Rest and serve. Allow the chicken to rest for a few minutes. Serve.

Oven Method

• Prep. Preheat the oven to 400ºF.
• Assemble the foil packets. Prepare chicken as directed above. Seal the packets closed and transfer to a baking sheet.
• Bake. Bake in the oven for 25 minutes, or until done. Remove from oven and carefully open up the foils; put the packets under the broiler for 3 to 4 minutes.
• Finish and serve. Remove from the broiler. Brush with more barbecue sauce (optional) and serve.