Preheat oven to 475°F and line a baking sheet with parchment paper. In a small skillet combine vinegar and brown sugar on medium heat. Bring to a boil and simmer, stirring frequently, until vinegar has reduced by half and is a syrupy consistency. Set aside.
Heat olive oil in a large skillet on medium-high heat. Add chicken, vegetables, salt and red pepper flakes. Sauté until chicken is just cooked through, 5-7 minutes. Remove from heat.
Press or roll pizza dough into a 9×13 inch rectangle. Cover with marinara sauce and coat evenly with mozzarella and parmesan cheese. Top with cooked chicken and vegetables.
Bake 12-15 minutes or until crust is light golden brown. Drizzle with balsamic glaze and garnish with fresh basil.