Aircraft panel flutter is a typical aeroelastic stability problem that typically occurs during supersonic flight, characterized by aerodynamic unilateral effects and significant structural and aerodynamic nonlinearity. This article reviews the current research status of panel flutter issues both domestically and internationally from the perspectives of flutter analysis methods and experimental techniques. It summarizes the commonly used technical means for panel flutter analysis and testing in the engineering community: structural nonlinear models such as geometric nonlinear model and material nonlinear model; aerodynamic nonlinear modeling methods such as piston theoretical model, CFD aerodynamic model, reduced order model of aerodynamic nonlinear model, and local flow piston theory; flutter equation solving methods such as spatial discretization method and reduced order model technology; and two test methods such as wind tunnel test and ground flutter test. This article also analyses the advantages and disadvantages of these research methods and recommends to the future research directions of panel flutter technology.