Marinate the chicken: In a food processor, combine all marinade ingredients (zest through black pepper), except for chicken, and process until smooth. Transfer the mixture to a large resealable plastic bag and add the chicken. Press out as much air as possible, seal the bag, toss to coat the chicken with the marinade, and refrigerate for at least 30 minutes and up to 24 hours.
For the orange vinaigrette, in a small bowl, whisk the cider vinegar, orange juice, zest, and marmalade until smooth. Slowly whisk in the olive oil until blended. Whisk in the salt and pepper. Cover and let stand while you make the rest of the salad. Whisk once more before serving, as the dressing will separate some as it sits. It will keep in an airtight container in the refrigerator for 1 week.
To broil the chicken (see grill instructions below): Adjust your oven racks so that the top rack is about 5 inches from the heat source (top of the oven). Preheat the broiler. Line a broiler pan with aluminum foil and spray the foil with cooking spray. Remove the chicken from the marinade, shaking off the excess and discarding the rest of the marinade, and lay the chicken breasts on the prepared pan. Broil until well browned and cooked through, 12 to 15 minutes, flipping halfway.
To grill the chicken: Coat your gas grill grates lightly with oil and then set the grill to medium-high heat. Remove the chicken from the marinade, shaking off the excess and discarding the rest of the marinade, add the chicken to the grill cover, and grill until browned and cooked through, about 5 minutes per side.
Transfer the chicken to a cutting board and let rest 5 minutes before cutting into thin strips.
To assemble the wraps, lay 2 lettuce leaves side by side on a work surface (for a sturdier wrap and better crunch, use a double layer of lettuce for each lettuce wrap!). Using about ¼ of the chicken, divide the strips among the 2 wraps, followed by ¼ of the avocado slices, the carrots, red onion slices, and fresh cilantro. Repeat the process to make more servings and serve.