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Abstract In a recent theoretical work, Phys. Lett. B785, 112 (2018), we proposed that a K * resonance with hidden charm content arises from the K D D ¯ ∗ $$ KD{\overline{D}}^{\ast } $$ dynamics, where the D D ¯ ∗ $$ D{\overline{D}}^{\ast } $$ system is treated as a Z c (3900) or X(3872). With the motivation of determining its further properties, which can be observed in experiments, we now present a calculation of the decay processes of this K *, namely K *(4307), to two-body channels. Particularly, we consider the decay channels J/ψK *(892), D ¯ D s $$ \overline{D}{D}_s $$ , D ¯ D s * $$ \overline{D}{D}_s^{*} $$ and D ¯ ∗ D s * $$ {\overline{D}}^{\ast }{D}_s^{*} $$ . The mechanisms of the decay to these channels involve triangular loops and are a consequence of the internal structure of the state. Thus, the values found for the decay widths of the proposed K *(4307) are related to its nature and should be valuable for carrying on an experimental study of the K *(4307). A K * state with such a mass (in the charmonium region) and quantum numbers is a clear manifestation of an exotic meson, since, having hidden charm (i.e., a c c ¯ $$ c\overline{c} $$ pair), its mass and quantum numbers can not be explained within a quark-antiquark description.