As more cloud computing and Internet-of-Things (IoT) devices are permeating the healthcare sector, protecting highly confidential patient information is becoming increasingly important. This paper presents a secure healthcare cloud framework, which integrates multi-layer security strategies such as Zero Trust Access Control, Homomorphic Encryption, and Secure Multi-Party Computation (SMPC) to protect the patients' data from unauthorized access and information data breaches. The framework is also supplemented with high encryption systems like End-to-End Encryption and with Quantum Resistant Cryptography, assuring secured data transmission. The proposed framework also guarantees confidentiality, integrity, and compliance to regulation through the incorporation of Intrusion Detection System (IDS) for real-time monitoring. The performance evaluation indicates that it can effectively meet the improved security needs of modern healthcare systems.