The Brazilian health system simultaneously allows for the existence of the public and private sectors, which often imposes financial barriers to access to services and affects the health of exposed groups. Studies have shown evidence of higher lethality risks among Black/Biracial and Indigenous People admitted to hospitals due to COVID-19 during the pandemic when compared to White People. This paper evaluated the association between access to treatment for COVID-19, race, and COVID-19-related deaths among the five macro-regions of Brazil in 2020. We conducted a retrospective, cross-sectional observational, and population-wide study. Logistical models were used including first-order interactions between race and the health establishment administration sector using deaths as outcome, adjusted for covariates. The lethality risk, defined as the percentage of deaths among hospitalized patients, of Black/Biracial and Indigenous People was up to 78% (in the Midwest) and 29% (in the South) higher when compared to White People, respectively. The association of the race/access interaction with COVID-19-related deaths suggested the possibility of institutional racism in health establishments. The results highlight the need to guarantee adequate funding to the public health sector to improve equity in access to healthcare and the constant development of educational activities and increased participation of racialized minorities in the healthcare workforce at influential positions for health workers on topics such as racism.