No, if you are a private employer and employ more than 500 employees, the FFCRA does not apply to your organization. In the case of private employers, it applies only to organizations that employ fewer than 500 full-time and part-time employees within the United States.
When counting your employees, be sure to include employees on leave, temporary employees who are jointly employed by you and another employer, and day laborers supplied by a temporary agency. You do not need to include workers who are properly classified as independent contractors.
You can read more about counting employees for purposes of the FFCRA on the DOL’s Q&A page.