In the present work, we investigate the productions of $$Z_{cs}^+$$
Z
cs
+
in $$B^+$$
B
+
and $$B_s^0$$
B
s
0
decays, where $$Z_{cs}^+$$
Z
cs
+
is assigned as a $$D_s^{+} {\bar{D}}^{*0} + D_s^{*+}{\bar{D}}^0$$
D
s
+
D
¯
∗
0
+
D
s
∗
+
D
¯
0
molecular state. By using an effective Lagrangian approach, we evaluate the branching fractions of $$B^0_s\rightarrow K^- Z^+_{cs}$$
B
s
0
→
K
-
Z
cs
+
and $$B^+\rightarrow \phi Z^{+}_{cs}$$
B
+
→
ϕ
Z
cs
+
via the triangle loop mechanism. The estimated branching fractions of $$B^0_s\rightarrow K^- Z^+_{cs}$$
B
s
0
→
K
-
Z
cs
+
and $$B^+\rightarrow \phi Z^{+}_{cs}$$
B
+
→
ϕ
Z
cs
+
are of the order of $$10^{-4} $$
10
-
4
and $$10^{-5}$$
10
-
5
, respectively. The ratio of these two branching fractions is estimated to be about 4, which indicate that the $$B_s^0 \rightarrow K^\pm Z^\mp _{cs} \rightarrow K^+ K^- J/\psi $$
B
s
0
→
K
±
Z
cs
∓
→
K
+
K
-
J
/
ψ
may be a better process of searching $$Z_{cs}$$
Z
cs
and accessible for further experimental measurements of the Belle II and LHCb Collaborations.