  We consider the general $\mathcal{N}{=}\,4,$ $d{=}\,3$ Galilean superalgebra
with arbitrary central charges and study its dynamical realizations. Using the
nonlinear realization techniques, we introduce a class of actions for
$\mathcal{N}{=}\,4$ three-dimensional non-relativistic superparticle, such that
they are linear in the central charge Maurer-Cartan one-forms. As a
prerequisite to the quantization, we analyze the phase space constraints
structure of our model for various choices of the central charges. The first
class constraints generate gauge transformations, involving fermionic
$\kappa$-gauge transformations. The quantization of the model gives rise to the
collection of free $\mathcal{N}{=}\,4$, $d{=}\,3$ Galilean superfields, which
can be further employed, e.g., for description of three-dimensional
non-relativistic $\mathcal{N}{=}\,4$ supersymmetric theories.
