We introduce the stochastic amperometric detection of silver nanoparticles on-chip using a microelectrode array. The technique combines the advantages of parallel and low-noise recordings at individually addressable microelectrodes. We demonstrate the detection of subpicomolar concentrations of silver nanoparticles with a diameter of 10 nm at sampling rates in the kilohertz regime for each channel. By comparison to random walk simulations, we show that the sensitivity of a single measurement is mainly limited by adsorption of nanoparticles at the surface of the chips and the measurement time.