1. Combine first 3 ingredients in a small bowl.
2. Discard giblets and neck from chicken. Rinse chicken and pat dry. Heat oil and butter in a 12-inch nonstick skillet over medium-high heat until butter melts. Sprinkle chicken pieces evenly with salt and pepper. Add chicken pieces to pan; cook 2 1/2 minutes on each side or until golden. Remove chicken from pan; place in a 4-quart electric slow cooker.
3. Reduce heat to medium. Add garlic to drippings in pan; sauté 1 minute or until garlic begins to brown. Stir in broth mixture, scraping pan to loosen browned bits. Boil 2 minutes or until sauce is reduced to about 1 cup. Pour sauce over chicken; sprinkle with thyme. Cover and cook on LOW for 4 hours or until chicken is done. Serve sauce and garlic with chicken. Garnish with chopped parsley, if desired.