Trilinear Neutral Gauge Boson Couplings (TNGBCs), namely ZZZ, ZZγ, and Zγγ may be highly sensitive to any new physics effects as their amplitude is extremely suppressed in any renormalizable theory such as the standard model (SM), where these class of couplings arise up to the one‐loop level. Even more, in the SM, CP‐odd TNGBCs are more suppressed than CP‐even ones as the former are absent at the one loop level. This opens up the window to examine CP‐violating effects on TNGBCs induced by new sources of CP‐violation. Along these lines, we analyze the possible CP‐violation on TNGBCS induced by the most general renormalizable tcZ coupling.