Based on a simplified model including a singlet vector-like top quark T with charge |Q| = 2/3, we analyze the prospects of observing T via the single T production in the tZ channel with Z decaying to neutrinos at the hadron-hadron colliders. This simplified model only includes two free parameters, the coupling constant g * and the T quark mass m T . To investigate the observability of the single T production, we perform a detailed background analysis and detector simulation for the collision energies 14 TeV, 27 TeV, and 100 TeV. We scan the g * − m T parameter space and show the exclusion and discovery capabilities on the T quark with the highest integrated luminosity designed at these colliders. Moreover, the limits from the narrowwidth approximation and electroweak precision observables are considered.