  Recent results on transverse mass spectra of $J/\psi$ and $\psi^{\prime}$
mesons in central Pb+Pb collisions at 158 A$\cdot$GeV are considered. It is
shown that those results support a hypothesis of statistical production of
charmonia at hadronization and suggest the early thermal freeze--out of
$J/\psi$ and $\psi^{\prime}$ mesons. Based on this approach the collective
transverse velocity of hadronizing quark gluon plasma is estimated to be
$<v^H_T> \approx 0.2$. Predictions for transverse mass spectra of hidden and
open charm mesons at SPS and RHIC are discussed.
