Autophagy ensures the degradation of cytosolic substrates by the lysosomal pathway. Cargoes destined to be eliminated are confined within double-membrane vesicles called autophagosomes, prior to fusion with endolysosomal vacuoles. Autophagy receptors selectively interact with cargoes and route them to elongating autophagic membranes, a process referred to as selective autophagy. Besides contributing to cell homeostasis, selective autophagy constitutes an important cell-autonomous defense mechanism against viruses. We review observations related to selective autophagy receptor engagement during host cell responses to virus infection. We examine the distinct roles of autophagy receptors in antiviral autophagy, consider the strategies viruses have evolved to escape or oppose such restrictions, and delineate the contributions of selective autophagy to the tailoring of antiviral innate responses. Finally, we mention some open and emerging questions in the field.