Call Optum Care Network customer service: Toll-free 1-888-767-2222 (TTY/TTD 1-800-735-2922) Mon.-Fri., 8:30 a.m.-5:00 p.m. local time. This is the listing for the Optum Clinic Urgent Care. Optum offers 8 convenient locations in your community. We also offer the convenience of multiple medical specialties and primary care in a single location..