The hadronic corrections to the muon anomalous magnetic moment a μ , due to the gauge-invariant set of diagrams with dynamical quark loop light-by-light scattering insertions, are calculated in the framework of the nonlocal chiral quark model. These results complete calculations of all hadronic light-by-light scattering contributions to a μ in the leading order in the 1/N c expansion. The result for the quark loop contribution is a