Call admission control (CAC) is a significant component in wireless networks to guarantee quality-of-service (QoS) requirements and also to enhance the network resilience. In the literature, CAC is normally evaluated by considering the limited bandwidth in the radio interface while the physical fading wireless channel is not considered. This work proposes a cross-layer analytical technique to study a CAC mechanism in wireless networks over Rayleigh fading channel. The tele-traffic parameters are relaxed to follow general distributions in stead of exponential variables for the sake of general applicability in various scenarios. The explicit relationship is derived between the performance metrics and the Rayleigh fading channel characteristics. Numerical investigation demonstrates that the fading channel has a substantial impact on the network performance.