The 2020 Census FAQ page states that detailed race and ethnicity data will be released at a TBD future date.
https://www.census.gov/programs-surv...ethnicity.html
"For the 2020 Census, we collected detailed responses for all major categories (Hispanic, White, Black or African American, Asian, American Indian or Alaska Native, Native Hawaiian or Other Pacific Islander, and Some Other Race). In turn, this will provide the ability to produce detailed tabulations for myriad population groups in the United States, such as German, Lebanese, Mexican, Jamaican, Nigerian, Chinese, Navajo, Samoan, Brazilian, etc."
The annual ACS also has this type of data, although with sometimes substantial margins of error.