Compressive peripheral nerve injury can be observed as a long-term outcome during the treatment of severe COVID-19 pneumonia. In this case study, we report a man with bilateral wrist drop due to prolonged noninvasive blood pressure monitoring. A 52-year-old man who had undergone invasive ventilation because of severe COVID-19 pneumonia was admitted with bilateral loss of function of the wrist, digital, and thumb extensors and hypoesthesia in the dorsum of the forearm and hand. The patient had not been treated with prone positioning respiratory therapy. However, he had undergone bilateral automated sphygmomanometry that measured his blood pressure every ten minutes during his ICU stay. His electrophysiological findings were compatible with the presence of bilateral radial nerve compression at the level of the spiral groove. Awareness of potential compressive peripheral nerve injury is important for rehabilitation after the treatment of COVID-19-associated pneumonia.