The COVID-19 pandemic strongly stimulated research on anti-SARS-CoV-2 virus treatments. The present study reviews a nanotechnology approach to this task, i.e., in other terms, a nanomedicine approach. Nanotechnology aims to create nanostructures or nanoparticles, also called nanoformulations, for targeted delivery of drugs, as well as improved drug release control. This approach is particularly promising to enhance the antiviral effect of natural pro-drugs. Here, we review several nanoformulations developed for the targeted delivery of medications against SARS-CoV-2. We draw special attention to repurposing strategies for known antiviral and natural therapies. Also, functionalized nanoparticles with specific targeting moieties and functional groups were discussed. The summary could motivate researchers to pursue more studies in this exciting area by seeking nanotechnology-based, cutting-edge, tailored delivery strategies for the SARS-CoV-2 virus.