Arrange the baby potatoes and carrots in an even layer at the bottom of a 6-quart slow cooker.
Place the chicken thighs on top of the vegetable layer.
In a medium mixing bowl, whisk together the soy sauce, honey, ketchup, garlic, oregano, and red pepper flakes until fully combined.
Pour the honey-garlic mixture over the chicken and vegetables, ensuring the chicken is well-coated.
Secure the lid and cook on the low setting for 7 hours or on the high setting for 3 to 4 hours.
Add the green beans to the slow cooker during the final 30 minutes of the cooking duration to ensure they remain crisp-tender.
Remove the chicken and vegetables from the slow cooker and serve, drizzling the remaining sauce from the pot over the dish.