Self-healing of selectively reflected (SR) Airy beam from cascade three-level atoms sandwiched between two dielectric walls is investigated. A theoretical model is developed to calculate SR Airy beam at an interface between dielectric and resonant atoms. Numerical simulation is also implemented, and the result shows that self-healed SR beams can be found both at normal and oblique incidence of the probe field, although there is a severe breakdown in the former case. We also show that the spectrum of the SR beams can be dramatically modified by the probe detuning and the coupling strength from the anisotropic behavior, enhancement and suppression of atomic radiation. The enhancement and the suppression are mainly from the interference and the alternating current (AC)-Stark splitting between dressed states created by the coupling field. These types of SR beams can have potential applications in the spatial detection and manipulation of resonant particles, as well as the optical storage and communication of information.