Patient-reported experience measures (PREMs) provide assessments of patients’ subjective experiences and perceptions regarding their interactions with the healthcare system and its services. We present a cross-sectional study of the patient perception and evolution of COVID-19 cases performed at Ovidius Clinical Hospital in Romania during the COVID-19 pandemic. The study objective is to explore the utility and the utilization of PREMs in monitoring patient perceptions of the supplementary protective actions. During the pandemic, the hospital implemented early supplementary protective actions, like PCR and lung CT, to all surgically admitted patients in the hospital alongside government-recommended actions. At the same time, functional PREMs were used to evaluate patient perceptions regarding these supplementary actions. The research was carried out for 19 months between June 2020 and December 2021. The findings revealed that opinions about the severity of the COVID-19 pandemic, the personal risk of infection, and the perception of protective actions in the hospital were not correlated. Conclusions: The patients’ appreciation of the COVID-19 protective actions taken by the hospital is related more to the general perceptions induced by the number of cases presented in the mass media and less by perceptions of the gravity of the problem or the risk of infection. In a hospital, the primary mission of patient safety is essential, and it must be fulfilled even if the patients are not sure or fully convinced that this is for their benefit. For management decisions and monitoring, using PREMs can be essential in a situation when general evidence is not conclusive.