This paper proposes a way of applying interference- aware interference mitigation algorithms to device- to-device (D2D) communications in cellular networks for system throughput improvement. One of main purposes for using D2D communications is to offload throughput passing through a base station in cellular networks. In this sense, interference management between cellular and D2D signals is inevitable for both cellular and D2D mobile stations (MSs). Recently, interference-aware interference mitigation algorithms have been proposed in a theoretical aspect as well as a practical aspect. These algorithms operate based on interference information given at a MS, which can be obtained via network assistance or blind estimation. This paper explains how interference- aware algorithms can be applied to D2D communications in cellular networks. Moreover, this paper analyzes the throughput performance by deriving the rate upper-bounds. Simulation results demonstrate that the system throughput can be significantly improved while not losing the performance of a cellular MS too much.