Viruses are often cultured in cell lines for research and vaccine development, and those often differ from the natural hosts or tissues. Cell lines can also differ in the presence of virus receptors, such as the sialic acid (Sia) receptors used by influenza A viruses (IAV), which can vary in linkage (α2,3‐ or α2,6‐linkage) and form (N‐glycolylneuraminic acid [Neu5Gc] or N‐acetylneuraminic acid [Neu5Ac]). The selective pressures resulting from passaging viruses in cell types with host‐specific variations in viral receptors are still only partially understood. IAV are commonly cultured in MDCK cells which are both derived from canine kidney tubule epithelium and inherently heterogeneous. MDCK cells naturally present Neu5Ac and α2,3‐linked Sia forms. Here, we examine natural MDCK variant lineages, as well as engineered variants that synthesize Neu5Gc and/or α2,6‐linkages. We determined how viral genetic variation occurred within human H3N2, H1N1 pandemic and canine H3N2 IAV populations when serially passaged in MDCK cell lines that vary in cell type (MDCK‐Type I or MDCK‐Type II clones) and in Sia display. Deep sequencing of viral genomes showed small numbers of consensus‐level mutations, mostly within the hemagglutinin (HA) gene. Both human IAV showed variants in the HA stem and the HA receptor‐binding site of populations passaged in cells displaying Neu5Gc. Canine H3N2 showed variants near the receptor‐binding site when passaged in cells displaying Neu5Gc or α2,6‐linkages. Viruses replicated to low titres in MDCK‐Type II cells, suggesting that not all cell types in heterogeneous MDCK cell populations are equally permissive to infection.