  The primary objective of this work is to study the dynamical characteristics
of an anisotropic compact star model with spherical symmetry. This
investigation is conducted in the framework of $f(Q)$ modified gravity. To
simplify the calculations, we employ the Karmarkar condition and derive a
differential equation that establishes a relationship between two crucial
components of the spacetime namely $e^\nu$ and $e^\lambda$. Additionally, we
incorporate the well-known Finch-Skea structure as the component representing
$g_{rr}$ and subsequently find the resulting form of the component $g_{tt}$
from the relation of metric functions to formulate the precise solutions for
the stellar structure. To assess the behavior of the anisotropic fluid and
stability of the compact star, we use the observed values of mass and radius
for the compact star model $PSR J0437-4715$. The graphical analysis depicts
that the stellar structure possesses physical viability and exhibits intriguing
properties. Furthermore, we predicted the mass-radius relation along with the
maximum mass limit of several objects for different parameter values by
assuming two different surface densities. It is discovered that the compactness
rises when density increases.
