Load the crockpot: Add the chicken, crushed tomatoes, bell pepper, onion, mushrooms, garlic, oregano, basil, salt, and pepper. Stir to combine.
Cook: Cover and cook on low for 6-7 hours or high for 3-4 hours, until the chicken is tender (165°F) and falls apart easily.
Finish: Stir in the red wine vinegar, taste for salt, and serve topped with fresh basil or parsley.
Notes
Red wine vinegar stirred in at the end substitutes for the wine a stovetop cacciatore would use, added off the cook so the brightness doesn't cook away.