We investigate R_D and R_{D^*} anomalies in a low scale left–right symmetric model based on SU(3)_Ctimes SU(2)_Ltimes SU(2)_Rtimes U(1)_{B-L} with a simplified Higgs sector consisting of only one bidoublet and one SU(2)_R doublet. The Wilson coefficients relevant to the transition brightarrow ctau nu are derived by integrating out the charged Higgs H^pm boson, which gives the dominant contributions. We emphasize that the charged Higgs effects, with the complex right-handed quark mixing matrix, can account for both R_D and R_{D^*} anomalies simultaneously, while adhering to a set of significant constraints including, for instance, textrm{BR}(B^-_c rightarrow tau ^- bar{nu }_tau ) and B_{s(d)}-bar{B}_{s(d)} mixing. In relation to this, we show that the predicted values of the D^*, tau longitudinal polarizations and P_tau (D) can be affected for the set of the parameters of the model resolving the R_{D,D^*} anomalies.