To find it, you'll likely need to:
1. Consult your owner's manual: This is the best place to start. It should have a diagram showing the location of fuses and relays.
2. Check the fuse box: Many Buick Century models have a fuse box under the dashboard on the driver's side. The flasher relay might be in this box or very near it.
3. Look behind the glove box: Sometimes relays are tucked away in this area.
4. Look near the steering column: Another possible location, although less common.
If you can't locate it using these methods, a search online for "2002 Buick Century flasher relay location" with images might show you pictures from other owners who have found theirs. You can also ask a local mechanic for assistance.