  Let $f\colon X\to X$ be a dominant meromorphic self-map of a compact complex
variety $X$ in the Fujiki class $\mathcal{C}$. If the topological degree of $f$
is strictly larger than the other dynamical degrees of $f$, we show that the
number of isolated $f$-periodic points grows exponentially fast similarly to
the topological degrees of the iterates of $f$; in particular, we give a
positive answer to a conjecture of Shou-Wu Zhang. In the general case, we show
that the exponential growth of the number of isolated $f$-periodic points is at
most the algebraic entropy of $f$.
