Fair Pay to Medicaid Providers Act of 2011 - Amends title XIX (Medicaid) of the Social Security Act to declare that a state plan shall not be in compliance with Medicaid prompt pay requirements unless it applies such requirements to claims relating to items and services furnished by any eligible person or entity in the same or similar manner as the plan applies such requirements to services furnished by a health care practitioner through an individual or group practice or through shared health facilities.