The spread of severe acute respiratory syndrome—Coronavirus 2 (SARS-CoV-2) around the world has rapidly sparked the interest of the scientific community to discover its implications in human health. Many studies have suggested that SARS-CoV-2 is directly or indirectly involved in the male reproductive tract impairment. Some evidence supports the possible role of the virus in male infertility. Therefore, this review aims to summarize the relationship between the male urogenital tract, male fertility, and the gonadal hormone profile. The testis is one of the organs with the highest expression of the angiotensin-converting enzyme (ACE) 2-receptor that allows the virus to penetrate human cells. Orchitis is a possible clinical manifestation of COVID-19 and testicular damage has been found on autopsy in the testes of patients who died from the disease. SARS-CoV-2 infection can compromise the blood-testis barrier, favoring testicular damage and the production of anti-sperm autoantibodies. Some studies have detected the presence of SARS-CoV-2 in semen and a high percentage of patients with COVID-19 have altered sperm parameters compared to controls. Finally, lower testosterone levels, higher luteinizing hormone (LH) levels, and decreased follicle-stimulating (FSH)/LH and testosterone/LH ratios suggest primary testicular damage. In conclusion, further studies are needed to evaluate the exact mechanisms by which SARS-CoV-2 affects the male reproductive system and fertility and to evaluate the reversibility of its long-term effects.