Epitaxial thin film PbZr0.2Ti0.8O3/YBa2Cu3O7 heterostructures have been grown on single crystal LaAlO3 by in-situ pulsed laser deposition. Structural characterization by x-ray diffraction, and transmission electron microscopy reveals that the films are typically c-axis oriented with a small fraction of a-axis oriented material, that is deposition condition dependent. The electrical properties change systematically with the crystalline quality and the best properties are obtained at higher temperatures. Above 715-degrees-C, there is progressive loss of lead and the electrical properties are diminished.