  In this paper, we are interested to explore stable configurations of
$d$-dimensional gravastars constructed from the interior $d$-dimensional de
Sitter and exterior $d$-dimensional Schwarzschild/Reissner-Nordstr\"om (de
Sitter) black holes through cut and paste approach. We consider the linearized
radial perturbation preserving the original symmetries to explore their
stability by using three different types of matter distributions. The resulting
frameworks represent unstable structures for barotropic, Chaplygin, and
phantomlike models for every considered choice of exterior geometries. However,
matter contents with variable equations of state have a remarkable role to
maintain the stability of gravastars. We conclude that stable structures of
gravastars are obtained only for generalized variable models with exterior
$d$-dimensional Schwarzschild/Reissner-Nordstr\"om-de Sitter black holes.
