Introduction The SARS-CoV-2 virus that causes the COVID-19 disease is transmitted through the inhalation of droplets or aerosols and inoculation via the oronasal or ocular routes, transforming the management of swallowing disorders into a challenge for healthcare teams, given their proximity to the aerodigestive tract and the high probability of aerosol generation during patient evaluation and treatment. Aim To provide essential guidance for Latin American multidisciplinary teams, regarding the evaluation and treatment of oropharyngeal and esophageal dysphagia, at the different levels of healthcare. The position statement was formulated for the purpose of maintaining medical service continuity, in the context of a pandemic, and minimizing the propagation and infection risks of the virus. Methods Thirteen experts in swallowing disorders were summoned by the Latin American Dysphagia Society to formulate a series of clinical suggestions, based on available evidence and clinical experience, for the management of dysphagia, taking the characteristics of Latin American healthcare systems into account. Results The position statement of the Latin American Dysphagia Society provides a series of clinical suggestions directed at the multidisciplinary teams that manage patients with oropharyngeal and esophageal dysphagia. It presents guidelines for evaluation and treatment in different contexts, from hospitalization to home care. Conclusions The present statement should be analyzed by each team or healthcare professional, to reduce the risk for COVID-19 infection and achieve the best therapeutic results, while at the same time, being mindful of the reality of each Latin American country.