We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy for quantum field theory on noncommutative spaces grasped as complex matrix model, obeys topological recursion of Chekhov, Eynard and Orantin. By introducing two families correlation functions, one corresponding to meromorphic differentials $\omega_{g,n}$ recursion, we obtain Dyson-Schwinger equations eventually ...