The mass and meson-current coupling of the diquark-antidiquark states with the quantum numbers J P = 0 + and quark contents Zq = [cq] [bq] and Zs = [cs][bs] are calculated using two-point QCD sum rule approach. In calculations the quark, gluon and mixing condensates up to eight dimensions are taken into account. The parameters of the scalar tetraquarks extracted from this analysis are employed to explore the strong vertices ZqBcπ, ZqBcη and ZsBcη and compute the couplings gZ q Bcπ , gZ q Bcη and gZ sBc η . The strong couplings are obtained within the soft-meson approximation of QCD light-cone sum rule method: they form, alongside with other parameters, the basis for evaluating the widths of Zq → Bcπ, Zq → Bcη and Zs → Bcη decays. Obtained in this work results for the mass of the tetraquarks Zq and Zs are compared with available predictions presented in the literature.