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Step 1
You will need an oval slow cooker for this recipe. Check the chicken's temperature after 2 hours of cooking and continue to monitor until it registers 160 degrees.
Step 2
Microwave 2 tablespoons oil, garlic, thyme, orange zest, ½ teaspoon salt, and ½ teaspoon pepper in bowl until fragrant, about 30 seconds; let cool slightly.
Step 3
Toss potatoes and fennel with 1 tablespoon oil, ½ teaspoon salt, and ¼ teaspoon pepper in large bowl. Cover vegetables and microwave, stirring occasionally, until softened, 8 to 10 minutes; transfer to slow cooker. Rub chicken with oil mixture; arrange skinned side up in even layer in slow cooker. Cover and cook until chicken registers 160 degrees, 2 to 3 hours on low.
Step 4
Cut away peel and pith from oranges. Quarter oranges, then slice crosswise into ½-inch-thick pieces. Combine oranges, olives, parsley, vinegar, and remaining 1 tablespoon oil in bowl. Season with salt and pepper to taste. Transfer chicken to serving dish. Using slotted spoon, transfer vegetables to dish with chicken. Serve with orange relish.