The paper aims to investigate the unsteady magnetohydrodynamics (MHD) flow with Darcy-Forchheimer effect and heat transportation. The system incorporates a Casson nanofluid (CNF) with heat transfer during melting and slip velocity, influenced by heat source/sink and thermal radiation. The motivation of investigating the current topic comes because of the squeeze flow is of practical physics. The mathematical process involves converting nonlinear partial differential equations (PDEs) into nonlinear ordinary differential equations (ODEs). The nonlinear ODEs are analytically solved via the Homotopy perturbation method (HPM), while considering the appropriate boundary conditions (BCs). Through a non-dimensional procedure, many dimensionless physical quantities are achieved. The primary results of velocity, temperature profiles, local skin-friction, and the local Nusselt number are shown and analyzed based on several non-dimensional parameters. It is found that the increasing of the radiation factor values, leads to a drop in the velocity and temperature of the CNF, as well as the local skin-friction and Nusselt number. Additionally, the increase of the slip velocity factor results in higher velocity, temperature, and local Nusselt number. Meanwhile, it reduces the local skin-friction.