The effect of quenching on the dielectric properties of ceramic Pb0.92La0.08(Zr0.65Ti0.35)(0.98)O-3 (PLZT 8/65/35) and (Bi1/2Na1/2)TiO3-6 mol. %BaTiO3 (BNT-6BT) was investigated after annealing at a wide range of temperatures. The dielectric permittivity showed that the magnitude and shape profile of the permittivity were significantly affected by the quenching process in comparison to furnace-cooled specimens. We propose that the changes originate from a circumvention of integrated aging that takes place during cooling process. A comparison between PLZT 8/65/35 and BNT-6BT allowed us to conclude that two different types of polar nanoregions exist in BNT-6BT and the transition between them peaks at around 300 degrees C.