Season chicken breasts with salt and pepper. Lightly coat each piece with flour.
Heat olive oil in a deep sauté pan over medium heat. Sear the chicken for 3-4 minutes per side until golden brown. Remove from pan and set aside.
In the same pan, sauté the whole garlic cloves and sliced bell peppers for 2-3 minutes until fragrant.
Pour in the chicken broth, scraping up the browned bits from the bottom of the pan.
Add tomato puree, oregano, and salt. Stir well and let the sauce simmer for about 10 minutes.
Place the chicken breasts back into the pan, ensuring they are covered in sauce. Lower the heat, cover the pan, and let simmer for 15 minutes or until the chicken is fully cooked.
Sprinkle shredded mozzarella over the chicken. Cover and cook for another 3-4 minutes until the cheese is melted and bubbly.
Remove from heat and garnish with fresh basil leaves and parsley. Let rest for a few minutes before serving.