"No. Self-identification is the preferred method of identifying the race and ethnic information necessary for the EEO-1 report. Employers are required to offer employees the opportunity to use self-identification to complete the EEO-1 report. If an employee declines to self-identify, employment records or observer observation may be used."
This is so crazy for Europeans. If an employer asked you about your race I'm pretty sure you could sue them. Hell it's not even legal to ask your age or sex as far as I know.
https://www.eeoc.gov/employers/eeo-1-survey/eeo-1-frequently...