  We report anomalous Hall effect (AHE) in single crystals of
quasi-two-dimensional Fe$_{3-x}$GeTe$_2$ ($x \approx 0.36$) ferromagnet grown
by the flux method which induces defects on Fe site and bad metallic
resistivity. Fe K-edge x-ray absorption spectroscopy was measured to provide
information on local atomic environment in such crystals. The dc and ac
magnetic susceptibility measurements indicate a second-stage transition below
119 K in addition to the paramagnetic to ferromagnetic transition at 153 K. A
linear scaling behavior between the modified anomalous Hall resistivity
$\rho_{xy}/\mu_0H_{eff}$ and longitudinal resistivity
$\rho_{xx}^2M/\mu_0H_{eff}$ implies that the AHE in Fe$_{3-x}$GeTe$_2$ should
be dominated by the intrinsic Karplus-Luttinger mechanism rather than the
extrinsic skew-scattering and side-jump mechanisms. The observed deviation in
the linear-M Hall conductivity $\sigma_{xy}^A$ below 30 K is in line with its
transport characteristic at low temperatures, implying the scattering of
conduction electrons due to magnetic disorder and the evolution of the Fermi
surface induced by possible spin-reorientation transition.
