Coronavirus disease (COVID-19) is caused by infection with the SARS-CoV-2 virus, having already caused more than seven million deaths worldwide. Conventional techniques for SARS-CoV-2 detection have limitations, as high cost, low specificity, and longer analysis time, among others. Biosensors emerge as a necessary alternative to overcome the difficulties of current diagnostics. This paper reports a sensor platform where silver-doped zinc oxide nanomaterial (Ag:ZnONp) was used onto carbon screen-printed electrode and ethidium bromide as indicator for development of a specific electrochemical genosensor for COVID-19. This genosensor demonstrated good linearity between the concentrations of 5.62 × 104–5.62 copies/mL and a detection limit of 5 copies/mL with gRNA in patient’s samples, with a response time within 30 min. Molecular modeling and morphological analysis are in agreement with obtained electrochemical results. Additional techniques such as AFM, SEM, and EIS were conducted to characterize the morphological and electrochemical properties of the biosensor’s surface. The biosensor was also capable of detecting the target presence in spiked samples and demonstrated a stability of 60 days, higher than other similar biosensors for SARS-CoV-2.