The disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), also called coronavirus disease 2019 (COVID-19), first originated in Wuhan, China, displaying atypical pneumonia-like respiratory symptoms in affected patients. SARS-CoV-2 primarily attacks the respiratory system, and the most common symptoms include cough, shortness of breath, and fever. However, its impact on the digestive system has been shown, and various clinical gastrointestinal manifestations of this disease have been recognized. Some reports have shown acute pancreatitis (AP) as the initial symptom in patients with COVID-19. AP may be a consequence of direct pancreatic damage by the virus because pancreatic acinar cells contain angiotensin-converting enzyme 2 receptor proteins, and SARS-CoV-2 can bind to these receptors, causing pancreatic injury. Moreover, AP may be a secondary indicator of cytokine storms and altered inflammatory responses. Our review of the literature shows that SARS-CoV-2 appears to be a new etiological infectious factor related to AP. In this manuscript, a comprehensive review of case reports and case series of patients with AP and COVID-19 is presented. All reports on COVID-19-associated AP are summarized. All cases are thoroughly analyzed and discussed in-depth.