  We report the results of the pressure-dependent measurements of the static
magnetization and of the ferromagnetic resonance (FMR) of Cr$_2$Ge$_2$Te$_6$ to
address the properties of the ferromagnetic phase of this quasi-two-dimensional
van der Waals magnet. The static magnetic data at hydrostatic pressures up to
3.4 GPa reveal a gradual suppression of ferromagnetism in terms of a reduction
of the critical transition temperature, a broadening of the transition width
and an increase of the field necessary to fully saturate the magnetization
$M_{\rm s}$. The value of $M_{\rm s} \simeq 3\mu_{\rm B}$/Cr remains constant
within the error bars up to a pressure of 2.8 GPa. The anisotropy of the FMR
signal continuously diminishes in the studied hydrostatic pressure range up to
2.39 GPa suggesting a reduction of the easy-axis type magnetocrystalline
anisotropy energy (MAE). A quantitative analysis of the FMR data gives evidence
that up to this pressure the MAE constant $K_{\rm U}$, although getting
significantly smaller, still remains finite and positive, i.e. of the easy-axis
type. Therefore, a recently discussed possibility of switching the sign of the
magnetocrystalline anisotropy in Cr$_2$Ge$_2$Te$_6$ could only be expected at
still higher pressures, if possible at all due to the observed weakening of the
ferromagnetism under pressure. This circumstance may be of relevance for the
design of strain-engineered functional heterostructures containing layers of
Cr$_2$Ge$_2$Te$_6$.
