Discard giblets and neck from chicken. Trim tough outer leaves from fennel; mince feathery fronds to measure 2 tablespoons.
Remove and discard stalks.
Cut bulb into quarters.
Place 1 fennel quarter, 6 thyme sprigs, 4 garlic cloves, lemon wedges, 1/2 cinnamon stick, and whole clove in body cavity.
Combine fennel fronds, oil, 3/4 teaspoon pepper, and 1/2 teaspoon salt. Starting at neck cavity, loosen skin from breast and drumsticks. Rub salt mixture under skin. Lift wing tips up and over back; tuck under chicken. Tie legs together with twine.
Place chicken on the rack of a roasting pan. Arrange remaining 4 garlic cloves, remaining fennel quarters, and onion in bottom of roasting pan; place rack with chicken in pan.
Bake at 450 for 20 minutes.
Reduce oven temperature to 37
Add remaining 6 thyme sprigs, remaining cinnamon stick half, wine, broth, orange rind, and star anise to bottom of pan; baste chicken.
Bake at 375 for 40 minutes; baste chicken.
Bake an additional 10 minutes or until a thermometer inserted in the meaty part of thigh registers 16
Remove from oven; let stand 20 minutes.
Place a zip-top plastic bag inside a 2-cup glass measure.
Pour drippings into bag; let stand 5 minutes (fat will rise). Seal bag; snip off 1 bottom corner of bag.
Drain drippings into roasting pan, stopping before fat layer reaches opening; discard fat. Cook over medium heat, scraping pan to loosen browned bits, until reduced to 1 1/4 cups.
Remove from heat, and stir in remaining 1/4 teaspoon salt, 1/4 teaspoon pepper, apricots, and butter.
Serve sauce with chicken; discard skin before serving.