Study of FCNC in top quark production and decay with the ATLAS detector

A review of the analyses involving flavour changing neutral currents (FCNC) processes using proton-proton collisions produced at the LHC and data collected with the ATLAS detector is presented. Results on the analyses searching for top-quark decay through $Z$ and Higgs boson, as well as direct top-quark production are considered. A quick overview on the expected sensitivity for the high-luminosity LHC~(HL-LHC), as well as results of other analyses searching for new models in which FCNC processes are allowed, are presented