This letter analyzes the sum-rate of a heterogeneous network with wireless backhaul supported by low-resolution analog-to-digital converters (ADCs) quantized full-duplex massive multiple-input multiple-output. Communication is achieved in two phases. First phase: the macro-cell base station (BS) is equipped with massive receive antennas and a few transmit antennas, and the small-cell BSs deploy massive receive antennas and a single transmit antenna. Second phase: the roles of the antennas are switched using a circulator. We derive closed-form expressions for the uplink/downlink rates by assuming imperfect channel state information. It is shown that the quantization noise (QN) due to the use of low-resolution ADCs, degrades the rate. This rate loss is efficiently minimized by using massive receive antennas in the first phase. However, in the second phase, the QN is of the same order as the desired signal. Therefore the massive number of transmit antennas is unable to effectively suppress the QN.