Abstract: We will first work out a local description of Berezin quantization on ${\mathbb C}P^d$. We show that a Berezin-type quantization can be achieved on a compact even dimensional manifold $M^ {2d}$ by removing a skeleton $M_ 0$ of lower dimension such that what remains is diffeomorphic to $R^{ 2d}$ which we identify with ${\mathbb C}^ d$ and embed in ${\mathbb C}P^ d$ . A local Poisson structure and Berezin-type quantization are induced from ${\mathbb C}P^ d$ . This construction depends on the diffeomorphism. However, suppose $X = M \setminus M_ 0$ has a complex structure and we have from $X \setminus X_0$ , (X 0 a set of measure zero or empty) a biholomorphism from it to ${\mathbb C}^d \setminus N_ 0$ , (where $N_ 0$ is of measure zero or empty). As before we embed ${\mathbb C}^d \setminus N_ 0$ in ${\mathbb C}^d and then into${\mathbb C}P^ d$and we have a Berezin-type quantization induced from${\mathbb C}P^ d$. If we use another biholomorphism, we have a map of the two Hilbert spaces under consideration such that the reproducing kernel of one maps to the reproducing kernel of the other and we have an equivalent quantization. We have a similar construction where we consider an arbitrary complex manifold and use local coordinates to induce the quantization from${\mathbb C}P^ d$ . We study the possibility of defining a global Berezin quantization on compact complex manifolds. Finally we give a simple construction of pullback coherent states on compact smooth manifolds.