The Belle II experiment started collecting data in summer 2018 and since then more than 176 fb$^{-1}$ of integrated luminosity has been collected. With the current sample size, charm measurements are focused mostly on early reconstruction and studies of detector performance. In this proceeding, we present the current status and prospects of the charm measurements with the target luminosity of 50 ab$^{-1}$ at Belle II. In particular, the $D^{0}$ and $D^{+}$ lifetime study, time-integrated charge-parity ($CP$) asymmetries, $D^{0}-\bar{D}^{0}$ mixing and decay-time-dependent $CP$ violation measurements are discussed.