In a 6- to 8-quart slow-cooker, combine the chicken, roasted peppers, bell pepper, garlic, shallot, tomato paste, sun-dried tomatoes, cherry peppers, oil, salt, crushed red pepper and several generous grinds of black pepper. Cook on low for 5 hours.
Stir in the orzo and cook on low for 15 minutes more, until the orzo is plumped and just tender.
Turn off the heat and stir in the cream, if using. Coarsely shred the chicken with two forks. Garnish with parsley to serve.