Yes, all the provider types listed may be eligible Medicaid providers if allowed by state statute. As stated on page 29 of the Comprehensive Guide, “States generally have broad flexibility to identify the providers of a covered Medicaid service, including their qualifications. When identifying provider qualifications for Medicaid-covered services, States may refer to State, local, or other generally applicable licensure or certification requirements, including certification by the federal, state, or local ED or national accrediting bodies.”
42 CFR Part 440 Subpart A, specifically 441.10, details requirements and limits applicable to specific services. For general services provisions, definitions and requirements, please refer to 42 CFR Part 440 and 441.