Mental Health Parity Compliance Act This bill revises the mental health parity rules to require private health insurance plans that offer both medical and mental health coverage to prepare a comparative analysis of nonquantitative treatment limitations (NQTLs). (NQTLs are limitations on the scope or duration of benefits for treatment, such as preauthorization requirements.) The comparative analysis must be available for the Department of Health and Human Services upon request and must include (1) a description of the NQTL and the specific services to which it applies, (2) the factors used to determine when the NQTL will apply, and (3) a description of how the NQTLs applicable to mental health or substance use disorder benefits are comparable to, and no more stringent than, the NQTLs applicable to medical or surgical benefits, among other information.