Recently, the communication systems have been propelled toward the fifth generation (5G) due to the huge demands of compact, fast, and wide bandwidth systems. Researchers are still intrigued by the challenge of creating an effective, small antenna with superior return loss and bandwidth for 5G applications. The foundation of this research is an H-shaped slotted rectangular patch antenna that operates at 28 GHz single frequency band (5G). Performance score error (PSE) has been used to observe the influences of the antenna parameter variation on the performance of the antenna during the manual parametric optimization. The best performance of the proposed antenna (after tuning) has been found as S11 = − 62.91 dB, BW = 5.36 GHz, VSWR=1.001 which outperformed all existing works. Even if the gain of the antenna is slightly low, it can be considered as a good candidate for the 5G communication at 28 GHz frequency band by considering overall performance.