Place the chicken thighs in the slow cooker. In a small bowl, stir together the honey, minced garlic, and soy sauce until smooth. Pour the mixture over the chicken.
Cover and cook on low for 6 hours or until the chicken reaches an internal temperature of 165 degrees.
About 45 minutes before the chicken is done, preheat the oven to 425 degrees. Toss the halved baby potatoes with olive oil, salt, pepper, and paprika in a large bowl.
Spread the potatoes in a single layer on a baking sheet. Roast for 30 to 35 minutes, stirring once halfway through, until golden and crisp on the edges.
Remove the chicken from the slow cooker and serve it with the roasted potatoes. Sprinkle chopped parsley over the top before eating.