Toeplitz operators have been extensively studied in the context of Hilbert spaces, particularly on Hardy and Bergman spaces. Over the past decade, research on Toeplitz operators has expanded beyond classical Hilbert spaces to some of the most fundamental and natural examples of Fréchet spaces: the spaces of holomorphic functions on the unit disk and the entire complex plane, as well as power series spaces. Building on the classical Hilbert space setting, we present the definition of Toeplitz operators on these special Fréchet spaces, along with the conditions required to ensure their continuity, compactness, and power boundedness.