  Strong decays of the charmonium-like state $Y(4320)$ have been studied in the
framework of the covariant confined quark model. The resonance $Y$ has been
interpreted as a four-quark state of the molecular type. We evaluate the
hidden-charm decay width of $Y$ to a vector and a scalar, with the latter
decaying subsequently to a pair of charged pseudoscalar states. The strong
decay modes $Y \!\to\! \pi^{+}\pi^{-}J/\Psi$ and $Y \!\to\! K^{+}K^{-} J/\Psi$
have been studied by involving the scalar resonance state $f_0(980)$. We have
calculated the fractal widths of the related strong decays and the branching
ratio ${\cal B}(Y \!\to\! K^{+}K^{-} J/\Psi)$ / ${\cal B}(Y \!\to\!
\pi^{+}\pi^{-}J/\Psi)$, recently determined by the BESIII collaboration. The
estimated branching ratio and calculated fractal strong decay widths are in
good agreement with the latest experimental data, favoring the molecular
representation of the $Y(4320)$ state.
