This short paper discusses language and globalization in the context of COVID-19. The pandemic has important impacts on people across the globe, and in particular the absence of face-to-face interaction results in new forms of communication and may lead to new ways of language change. This paper revisits sociolinguistics and globalization, and discusses challenges brought about by COVID-19 and its containment measures. The pandemic generates particularly discourses, especially from those who are affected the most. This paper includes a vignette of such discourses to show that mobility and inequality remain key issues in the current stage of globalization.