A drastic reduction in temperature dependent cross-plane thermal conductivity κ occurs in Gequantum dotsuperlattices (QDSLs), depending on the vertical correlation between dots. Measurements show at least a twofold decrease of κ in uncorrelated dot structures as compared to structures with the same Si spacer of 20nm but good vertical dot alignment. The observed impact of disorder on the conductivity provides an alternative route to reduce the thermal conductivity of QDSLs. The results of this work have implications for the development of highly efficient thermoelectric materials and on-chip nanocooling devices.