In a large skillet, heat olive oil over medium heat. Add the chopped onion and minced garlic, sautéing until the onion is translucent, about 3-4 minutes.
Transfer the sautéed onion and garlic to the slow cooker. Add the chicken thighs, carrots, potatoes, chicken broth, thyme, rosemary, paprika, salt, and pepper. Stir to combine.
Cover and cook on low for 6-8 hours or on high for 4-5 hours, until the chicken is tender and the vegetables are cooked through.
Before serving, taste and adjust seasoning if necessary. Garnish with fresh parsley.
Serve hot with crusty bread or over rice if desired.