Place chicken, carrots, potatoes, celery, onion, garlic, and green beans into the slow cooker.
Whisk chicken broth with tomato paste, paprika, thyme, oregano, salt, and pepper. Pour over the ingredients in the slow cooker.
Add the bay leaf and cover. Cook on low for 6–7 hours or on high for 3–4 hours.
Remove the bay leaf, then stir in the frozen peas.
If you want a thicker stew, add the cornstarch slurry and cook on high for an additional 10–15 minutes.
Taste and adjust seasoning before serving hot with warm bread or rice.