We investigate the model-independent parameterization of H(z) in spatially homogeneous and isotropic FLRW space-time using Cosmic Chronometers (31 data points) and Pantheon+SH0ES (1701 points) datasets. The best-fit values for the model parameters (H0,A1,A2,A3) are obtained through MCMC analysis. Our results show that the EoS parameter ω transitions from a matter-dominated era through quintessence to ω=−1, indicating convergence to ΛCDM at late times. The current ω values suggest an accelerating universe. Moreover, the model's squared sound speed vs2 evolves from negative to positive, indicating increasing stability. The deceleration parameter q shows a smooth transition from deceleration to acceleration, with transition redshift zt between 0.5 and 0.8. Further, the energy conditions are satisfied, and SEC violation at z=0 supports current acceleration. The ω−ω′ plane lies in the freezing region, and the r−s plane approaches the ΛCDM limit at late times.