Innovative and sustainable telemedicine, telehealth and e-health developments require the strategic planning, design and implementation of appropriate telecommunication networks and infrastructures. In this paper, we review major aspects of networking and telecommunication technologies applicable to expanding telehealth care markets, practices and research. To explore strategic network planning concepts, we brainstorm on networking requirements and various telehealth and e-health applications in biomedical research, clinical care and public health domains. To provide guidance on appropriate network design and implementation, we study examples of telemedicine and telehealth networks deployed in terrestrial and satellite settings. We believe that by bringing together state-of-the-art telecommunication and Internet-related technologies and relevant biomedical, clinical and public health-related expertise, the field of telemedicine, telehealth and e-health will have the potential to infiltrate new frontiers and uncharted territories, particularly in the area of knowledge management. Finally, although many improvements may still be possible for enhancing present and future network and Internet-related technologies, we agree with the expressed view of many that advances in telemedicine, telehealth and e-health is currently impeded by the lack of clear and supportive legal infrastructures.