We have analyzed metamaterials made of very thin semiconductor layers, whose composition corresponds to GaAs/AlGaAs quantum cascade laser, placed in a very strong external magnetic field (in the range 15–40 T) to maximize the optical output. The role of the magnetic field is to assist in the attainment of sufficient population inversion, which is necessary to effectively manipulate the permittivity. By discretizing the in-plane electron motion, the external magnetic field influences all the relevant relaxation processes in the structure. This enables one to control and tune the value of the complex dielectric permittivity so as to satisfy negative refraction conditions. In addition to illustrating the influence of magnetic field magnitudes on permittivity, we also present the effects of varying electron surface densities and the operating temperature.