We investigate the prospects for discovering the Flavour Changing Neutral Current (FCNC) tqZ couplings via two production processes yielding trilepton signals: top quark pair production pp → t t with one top decaying to the Z boson and one light jet and the anomalous single top plus Z boson production process pp → tZ. We study these channels at various successors of the Large Hadron Collider (LHC), i.e., the approved High-Luminosity LHC (HL-LHC) as well as the proposed High-Energy LHC (HE-LHC) and Future Circular Collider in hadron-hadron mode (FCC-hh). We perform a full simulation for