In this study, we investigate the discovery potential of double-charm tetraquarks $T^{{cc}}_{[bar{q}bar{q}]}$. We find that their production cross sections at the LHCb with $sqrt{s} = 13$ TeV reach $mathcal{O}(10^4)$ pb, which indicates that the LHCb has collected $mathcal{O}(10^8)$ such particles. Through the decay channels of $T^{{cc}}_{[bar{u}bar{d}]}to D^{+}K^{-}pi^{+}$ or $D^0D^+gamma$ (if stable) or $T^{{cc}}_{[bar{u}bar{d}]}to D^0D^{*+}to D^0D^0pi^+$ (if unstable), it is highly expected that they get discovered at the LHCb in the near future. We also discuss the productions and decays of the double-charm tetraquarks at future Tera-$Z$ factories.