<p>In high-energy physics, coordinate noncommutativity represents the core idea that space itself can be quantized, as expressed through the frameworks of string theory and noncommutative field theory. Influence of such a noncommutativity on 2D quantum oscillatory motion, which undergoes parameter variations, is explored. We first derive quantum solutions of the system described with time-independent parameters considering the noncommutativity of coordinates as a preliminary step. And then, we extend our investigation, framed with noncommutative phase-space formalism, to obtain relevant solutions of the system with time-dependent parameters. For this nonstationary system, we focus on demonstrating the impacts of parameter variations on quantum aspects, including the quantum waves encompassing the Berry phase as well as the usual dynamical phase. While the left and right circular annihilation and creation operators are utilized in the quantum treatment of the basic stationary system, the Lewis-Riesenfeld invariant theory and the invariant-related unitary transformation procedure are used in managing the nonstationary system. The outcome of our analysis is exact and useful in understanding the effects of noncommutativity from quantum perspectives, especially in conjunction with the system’s response to parameter variations.</p>