We report on a measurement of the {Lambda}_c^{+} to D0 production ratio in peripheral PbPb collisions at sqrt{s_{textrm{NN}}} = 5.02 TeV with the LHCb detector in the forward rapidity region 2 < y < 4.5. The {Lambda}_c^{+} (D0) hadrons are reconstructed via the decay channel {Lambda}_c^{+} → pK−π+ (D0→ K−π+) for 2 < pT< 8 GeV/c and in the centrality range of about 65–90%. The results show no significant dependence on pT, 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_{textrm{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.