We propose a new approach to show quantitative estimates for solutions of nonlinear Fokker-Planck equations with singular potential by stochastic interacting particle systems. Our result only requires very weak regularity on the interaction kernel, including the Biot-Savart kernel, the family of Keller-Segel kernels in arbitrary dimension, and more generally singular Riesz kernels. The proof is based on a semigroup approach, and we also exploit the regularity of the solutions of the limiting equation.