  The thermal transport properties of a two dimensional Fermi gas are explored,
for the full range of temperatures and densities. The heat flux is established
by solving the Uehling-Uhlebeck equation using a relaxation approximation given
by Marle's collisional kernel and considering the temperature and chemical
potential gradients as independent thermodynamic forces. It is shown that the
corresponding transport coefficients are proportional to each other, which
leads to the possibility of defining a generalized thermal force and a single
transport coefficient. The behavior of such conductivity with the temperature
and chemical potential is analyzed and a discussion on its dependence with the
relaxation parameter is also included. The relevance and applications of the
results are briefly addressed.
