One of the most important paradigm shifts nowadays regarding future 6G communication is related, from one side to the desire of bringing services and data as close as possible to the end users, and from another side, to empower the user with control over their data and personal information. In this vision, private 6G networks will shape trusted zones where data center services are placed at the edge of the network. The services will follow a Web3 approach, where decentralization and zerotrust mechanisms are predominant. In this environment, a decentralized authentication mechanism is needed. In this paper, we propose a 6G architecture and a blockchain-like authentication scheme based on Verifiable Credentials. Our model uses zerotrust technology for a better and more trusted Internet.