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We have calculated the mass spectra for the (D)(*)sD(*) molecular states and sc(qc) tetraquark states with JP =0+,1+,2+.The masses of the axial-vector (D)sD*,(D)*sD molecular states and 1[se]⊕0[(qc)],0[sc]⊕ 1[(qc)]tetra-quark states are predicted to be approximately 3.98 GeV,in good agreement with the mass of Zc.s(3985)-from BE-SⅢ.In both the molecular and diquark-antidiquark scenarios,our results suggest that there may exist two almost de-generate states,as the strange partners of X(3872) and Zc(3900).We propose to carefully examine Zcs(3985) in fu-ture experiments to verify this.One may also search for more hidden-charm four-quark states with strangeness in not only the open-charm(D)(*)sD(*) channels but also the hidden-charm channels ηcK/K*,J/ΨK/K*.