Reopening fertility care services across the world in the midst of a pandemic brings with it numerous concerns that need immediate addressal, such as the impact of Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) on the male and female reproductive cells and the plausible risk of cross-contamination and transmission. There exists little literature on confirmatory reports of the association of SARS-CoV-2 with reproductive tissues, gametes, and embryos due to the novelty of the disease. Cryobanking, an essential service in fertility preservation, carries the risk of cross-contamination through cryogenic medium and thus calls for risk-mitigation strategies. This review aims to address the available literature on the presence of SARS-CoV-2 on tissues, gametes, and embryos with a special reference to the possible sources of cross-contamination through liquid nitrogen. Strategies for risk-mitigation have been extrapolated from reports dealing with other viruses to the current global crisis, for safety in fertility treatment services in general and oncofertility in specific.