Cheap Apartments For Rent In Palmyra Pa . Each apartments.com listing has verified availability, rental rates, photos, floor plans and more. 6 cheap apartments for rent in palmyra, pa. 902 Cambridge Court, Palmyra, PA 17078 2 Bedroom House for Rent for from www.zumper.com If living in palmyra is not a strict requirement, you can instead search for nearby harrisburg apartments , york apartments or lancaster apartments. Start your free search for cheap apartments today. See all 8 apartments under $600 in palmyra, pa currently available for rent.