In this article, we calculate the mass shift and decay constant of isospin averaged pseudoscalar (D + ,D 0 ) and scalar (D + 0 ,D 0 0 ) mesons by the magnetic field induced quark and gluon condensates at finite density and temperature of asymmetric nuclear matter. We have calculated the in-medium chiral condensates from the chiral SU(3) mean field model and subsequently used these condensates in QCD Sum Rules (QCDSR) to calculate the effective mass and decay constant of D mesons.Consideration of external magnetic field effects in hot and dense nuclear matter lead to appreciable modification in the masses and decay constants of D mesons. Furthermore, we also studied the effective decay width of higher charmonium states (ψ(3686), ψ(3770), χ c 0 (3414), χ c 2 (3556)) as a by-product by using 3 P 0 model which can have an important impact on the yield of J/ψ mesons.The results of present work will be helpful to understand the experimental observables of the heavy ion colliders which aim to produce matter at finite density and moderate temperature.