In a small bowl, combine chopped parsley, minced garlic, oregano, red wine vinegar, red pepper flakes, and 0.5 cup extra virgin olive oil to make the chimichurri sauce.
Toss the chicken breasts with 2 tablespoons olive oil, salt, and black pepper.
Preheat grill or grill pan to medium-high heat (approximately 400°F).
Grill the chicken for 6 to 7 minutes per side or until the internal temperature reaches 165°F.
Remove chicken from heat and let rest for 5 minutes before slicing into 0.5-inch strips.
Divide the cooked rice into four serving bowls.
Arrange the sliced chicken, cherry tomatoes, cucumber, and avocado slices over the rice.
Drizzle each bowl with 2 to 3 tablespoons of the prepared chimichurri sauce and serve immediately.