In this paper, we propose a detector structure for fully connected hybrid massive MIMO systems with transceiver impairments at user equipments. In literature, memoryless compensation of nonlinear effects at the receiver side is recently proposed for systems employing frequency domain equalization. However, in these studies, the system model is restricted to be symbol sampled, where pulse shaping and fractional delays in channel impulse response (CIR) are not taken into consideration. However, memory effects of nonlinear distortion become more apparent when the system is considered in the upsampled signal domain. In this study, we propose a receiver architecture, where the received signal of each user is nonlinearly modified by the post-distortion unit with memory to recover the transmitted symbols. In addition, based on the proposed receiver structure, a novel detection criterion is introduced in order to compensate the distortion amplification due to fractional delays in the CIR. Lastly, performance improvement brought by the proposed detector is verified by numerical simulations.