  Polarization resolved, Raman scattering response due to E$_{2g}$ phonon in
monolayer graphene has been investigated in magnetic fields up to 29 T. The
hybridization of the E$_{2g}$ phonon with only the fundamental inter Landau
level excitation (involving the n=0 Landau level) is observed and only in one
of the two configurations of the circularly crossed polarized excitation and
scattered light. This polarization anisotropy of the magneto-phonon resonance
is shown to be inherent to relatively strongly doped graphene samples, with
carrier concentration typical for graphene deposited on SiO$_2$.
