Coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), is currently spreading worldwide. The pandemic has already had significant adverse effects on human civilization, the environment, and the ecosystem at national and global levels. Moreover, the various sectors of the food production chain, particularly agriculture and livestock, have also been significantly affected in terms of production sustainability and economic losses. The global pandemic has already resulted in a sharp drop in meat, milk, and egg production. Restrictions of movement at national and international levels, implemented as a part of control strategies by public health sectors, have negatively impacted business related to the supply of raw materials for livestock farmers and farm outputs, veterinary services, farmworkers, and animal welfare. This review highlights the significant impacts of COVID-19 on the sustainability of livestock performance, welfare on a global scale, and strategies for mitigating these adverse effects.