Place a large sauce pot over medium heat. Add the olive oil and chopped onions. Saute for 3 minutes to soften. Then add the chopped bell pepper, carrots, and garlic. Saute another 3 minutes.
Add whole raw chicken breasts, chicken broth, dried thyme, crushed red pepper, 1 teaspoon salt, and 1/4 teaspoon ground black pepper to the pot. Bring to a simmer. Lower the heat a little and simmer 15 minutes, until the chicken in cooked through. Remove the chicken and place on a cutting board.