<p>In the field of aerospace, graphene platelets (GPLs) reinforced metal foam (GPLRMF) arbitrary quadrilateral plates have attracted extensive attention due to their excellent specific strength. The objective of the current work is to explore the dynamic stability and nonlinear flutter behavior of such quadrilateral plates under the combined action of thermal load and supersonic airflow. Three temperature rise modes are introduced: uniform temperature rise (UTR), linear temperature rise (LTR) and sinusoidal temperature rise (STR). GPLs and pores are symmetrically distributed within the quadrilateral plates. In this study, the Halpin–Tsai model (HTM) is used to calculate the material properties of the quadrilateral plates. Considering the influence of supersonic airflow, this study adopts the first-order piston theory to build the model. Meanwhile, the motion equations of the system are derived through Hamilton's principle. By applying the generalized differential quadrature method (GDQM), the motion equations are discretized and the corresponding algebraic equation system is constructed. Subsequently, the critical flutter aerodynamic pressure can be obtained with eigenvalue analysis, and the post-flutter response is simulated with the Newton–Raphson and Newmark-<i>β</i> methods. Finally, the study reveals the influences of material attributes, boundary conditions and temperature changes on the thermo-aero-elastic behavior of GPLRMF quadrilateral plates.</p>