This paper delves into the application of blockchain technology within the healthcare sector, with a specific emphasis on its integration into the management of Electronic Medical Records (EMRs) as a crucial component of the pharmaceutical supply chain. Identifying the pressing need for a secure and interoperable system to handle medical data, this study confronts challenges such as security, scalability, reliability, interoperability, and data breaches in EMR systems. Through a selective literature review focusing on pertinent articles, particularly those concerning blockchain for EMRs, the aim was to identify suitable blockchain architectures for medical records. Addressing the research gap, the paper proposes an in-depth and comparative evaluation of various blockchain architectures suggested in prior studies to comprehensively assess their implementation in healthcare systems. Preliminary results indicate the potential of blockchain technology to enhance the security, confidentiality, and efficiency of EMRs management. However, the limitation of lacking validation of proposed blockchain architectures by case studies through constrains the effectiveness of proposed solutions, thus urging the future direction towards the development of more efficient and secure blockchain solutions tailored specifically for the pharmaceutical supply chain.