Substantial increase in the number of base stations compels researchers to focus on spectrum and energy efficiency in wireless networks. To this end, we propose an intra-cell freequency band exiling (ICE) technique as a promising solution for green wireless networks. In the proposed technique, operating frequency bands of mobile users are assigned from upper frequency bands to lower frequency bands by suitably adjusting their coverage area to provide energy efficient communications. To do this, we derive ICE probabilities on a log-normally distributed traffic model and calculate the energy efficiency (EE) and area spectral efficiency (ASE) considering the power consumption model. The simulation results demonstrate that the ASE can be improved by increasing the traffic density. However, increasing the traffic density does not improve the EE beyond a certain threshold. Therefore, the trade-off between the EE and the ASE is presented, and the optimum operating point is provided. In addition, the ICE performance has shown to be better than the existing cell zooming technique. We unveil the ICE relation with beyond-5G (B5G) networks. Finally, a cell exiling manager system is provided to illustrate the applicability of the proposed technique for various implementations.