This work explores the characteristics of implementing parallel Quick Sort algorithm over the OTIS Hyper Hexa-Cell interconnection network OHHC. OHHC interconnection architecture offers efficient processor connectivity by utilizing both electronic and optical based connections. The work presented includes analytical evaluation of the algorithm as well as simulated evaluation over a multi-threading environment. Different experiments were performed using different OHHC dimensions, different integer array types and different array sizes. The evaluation and simulation demonstrated encouraging results that proposes the OHHC connectivity networks as a promising architecture.