Preheat oven to 375 degrees. Lightly sprinkle both sides of chicken with blackened steak seasoning. In a large ovenproof skillet, heat the 1 tablespoon oil over medium heat. Add chicken; cook until browned on both sides, turning once.
Place the skillet and chicken into the oven and bake for about 15 minutes, or until chicken is no longer pink in center.
Meanwhile, for salsa, in a large bowl whisk together rice vinegar, the 2 tablespoons olive oil, cumin, salt, and black pepper. Stir in avocado, papaya, sweet pepper, and chopped cilantro. Serve with chicken.