  We report on a measurement of the $\Lambda_c^+$ to $D^0$ production ratio in
PbPb collisions at $\sqrt{s_{\rm NN}}$= 5.02 TeV with the LHCb detector in the
forward rapidity region $2 <y< 4.5$. The $\Lambda_c^+$ ($D^0$) hadrons are
reconstructed via the decay channel $\Lambda_c^+\rightarrow pK^+\pi^-$ ($D^0
\rightarrow K^-\pi^+$) for $2<p_{\rm T}<8$ GeV$/c$ and in the centrality range
of about 65-90%. The results show no significant dependence on $p_{T}$, $y$ or
the mean number of participating nucleons. They are also consistent with
similar measurements obtained by the LHCb collaboration in pPb and Pbp
collisions at $\sqrt{s_{\rm NN}}$ = 5.02 TeV. The data agree well with
predictions from PYTHIA in pp collisions at $\sqrt{s}$ = 5 TeV but are in
tension with predictions of the Statistical Hadronization model.
