  The entanglement extended Polyakov--Nambu--Jona-Lasinio model at zero
chemical potential in the presence of an external magnetic field is studied.
The effect of the entanglement parametrization is analyzed, in particular, on
the pseudocritical transition temperatures and on the thermodynamical
properties of the model. The model predicts that the coincidence or not of both
chiral and deconfinement transition temperatures, in the presence of an
external magnetic field, depends on the entanglement parametrization chosen.
