  In this paper, we construct a deformed Schwarzschild black hole from the de
Sitter gauge theory of gravity within Dunkl generalization and we determine the
metric coefficients versus Dunkl parameter and parity operators. Since the
spacetime coordinates are not affected by the group transformations, only
fields are allowed to change under the action of the symmetry group. A
particular ansatz for the gauge fields is chosen and the components of the
strength tensor are computed as well. Additionally, we analyze the
modifications on the thermodynamic properties to a spherically symmetric black
hole due to Dunkl parameters for even and odd parities. Finally, we verify a
novel remark highlighted from heat capacity: the appearance of a phase
transition when the odd parity is taken into account.
