  We investigate the Goos-H\"{a}nchen shifts in reflection for a light beam
within a graphene structure, utilizing the Fizeau drag effect induced by its
massless Dirac electrons in incident light. The magnitudes of spatial and
angular shifts for a light beam propagating against the direction of drifting
electrons are significantly enhanced, while shifts for a beam co-propagating
with the drifting electrons are suppressed. The Goos-H\"{a}nchen shifts exhibit
augmentation with increasing drift velocities of electrons in graphene. The
impact of incident wavelength on the angular and spatial shifts in reflection
is discussed. Furthermore, the study highlights the crucial roles of the
density of charged particles in graphene, the particle relaxation time, and the
thickness of the graphene in manipulating the drag-affected Goos-H\"{a}nchen
shifts. This investigation offers valuable insights for efficiently guiding
light in graphene structures under the influence of the Fizeau drag effect.
