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.
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