Managed Appearance Counsel Nationwide. Appearance Network provides on demand coverage attorneys for court appearances and related litigation appearances nationwide. Managed by Attorney Leslie Stewart who has over 10 years of experience in the coverage counsel segment of legal services. With over 140,000 appearances, Appearance Network has a proven track record for reliability. Our secure portal allows easy, up to the minute communication and access for creating, updating and cancelling appearances. Reliable. Thoughtful. Attorney Managed. Woman Owned Small Business (WOSB).