This paper deals with the design and study of parameters of square shaped microstrip patch antenna suitable for 5G communication systems. It is designed on Rogers RT Duroid 5880, which has a dielectric constant of 2.2. In this study, a micro-strip line fed patch antenna array, operating at a resonant frequency of 10.21GHz which is preferred for 5G applications, is implemented using the Computer Simulation Technology (CST) software. The designed antenna attained a fractional bandwidth of 1.62%, a wide bandwidth of 165 MHz and a reflection coefficient of -14.341dB. The transmission line used for the antenna is an inset feed. In order to design a microstrip patch antenna, the substrate material and its thickness are initially selected. The selection of a proper dielectric material and its thickness is very crucial in designing microstrip patch antenna. This paper also explains how antenna performance changes with the thickness variation of the substrate. The modified antennas can operate around 28 GHz and 10 GHz, the frequency bands recently proposed for 5G applications. The radiation pattern, return loss, 3D gain and VSWR curves are simulated for all designed antennas.