This paper proposes a comprehensive 3GPPcnaompatible channel model with statistical enhancement tailored for indoor short-range device-to-device (D2D) communications operating in the frequency range (FR) of 52.6-71.0 GHz termed FR2-2. Regardless of the existence of various channel models at this band for indoor communications, there will be a need for developing a channel model compatible with and understandable from the current 3GPP stochastic channel model (SCM) to facilitate the discussion in the 3GPP for developing such FR2-2 short-range D2D communication framework based on the fifthgeneration (5G) new radio (NR). Indeed, such a futuristic vision can be foreseen from the fact that the 3GPP is discussing the evolution of sidelink, referred to as a D2D communication framework; however, there are no 3GPP SCM-compatible channel models applicable to FR2-2 short-range D2D communications. To fill this void, we propose the channel model coined 3GPPCompFR2-InS that allows us to generate channel impulse responses (CIR) for computer simulations, which is suitable for various indoor short-range D2D communication scenarios while retailing the similarity in terms of the implementation policy of the 3GPP SCM. 3GPPCompFR2-InS is verified based on the real-world measurements at the 60 GHz band from the viewpoint of both the validity of the channel model parameters and that of the statistical behavior of the generated CIRs.