In a small serving bowl, make dipping sauce by stirring together the ketchup, maple syrup, and Worcestershire sauce. Set aside. In a large bowl, toss the zucchini, squash, oil, and a pinch each of salt and pepper until well coated.
Microwave the Crispy Chicken Strips for 2 minutes. When cool enough to handle, cut into 2-inch pieces, then thread onto skewers, alternating with the zucchini and squash slices.
Place on the hot grill. Grill, turning once, until grill marks appear, about 3 minutes.