The abrupt transition from the traditional model of medical education to online learning caused by the COVID-19 pandemic led to unprecedented changes in the education of future healthcare professionals. This study aimed to evaluate the opinions of Polish healthcare students on the changes introduced due to the COVID-19 pandemic and propose recommendations for improvement. Data were collected from June to July 2020 using an online questionnaire. The results demonstrate that students were generally satisfied with the online learning solutions implemented during the pandemic and appreciated their teachers’ efforts. In their opinion, some of the solutions should also be continued after the pandemic. Students noticed positive aspects of online learning: time efficiency, bigger student-friendliness and unlimited attention from teachers, the flexibility of the learning process, better learning conditions for students, and absences due to illness and other random situations. However, they also noticed its disadvantages: problems with the Internet connection and technical aspects, attitudes of teachers, limited interpersonal relations, limited learning of practical skills, health concerns, students’ engagement and distractions at home, and assessment. To conclude, our results indicate some necessary recommendations to improve the quality of further online learning in medical schools during the COVID-19 pandemic.