Preheat the oven to 400°F and line a large baking sheet with parchment paper.
Slice the chicken breast into thin, even strips and place them in a mixing bowl.
Add the sliced red bell pepper, zucchini, and red onion to the bowl with the chicken.
Drizzle the balsamic vinegar over the mixture and sprinkle with garlic powder, dried oregano, sea salt, and black pepper.
Toss everything thoroughly until the chicken and vegetables are evenly coated in the seasonings.
Spread the mixture in a single layer on the prepared baking sheet.
Roast for 12 to 15 minutes, or until the chicken is cooked through and the vegetables are softened.
Warm the gluten-free tortilla in a dry skillet over medium heat for 30 seconds on each side until pliable.
Place the roasted chicken and vegetables in the center of the tortilla.
Fold in the sides and roll the tortilla tightly to form a wrap.