In this work, the design of a high-performance single-stage Low Noise Amplifier (LNA) for GSM applications is taken into consideration. LNA design is one of the key stages of a wireless communication system due to its dominance over the whole system's noise figure performance. Although it is possible to achieve a very high gain and low noise figure with the usage of multi-stage transistors, such designs would also have a high complexity and manufacturing cost. The main aim of this work is to propose a single transistor LNA design for GSM application with a gain level of 14.3 dB, return loss level of less than 15 dB, and noise figure of 1.8 dB over the operation band of 820-980 MHz. the optimal design variables of the model is obtained via Grey Wolf optimization procedure.