Can I install my pet door in a house door with recessed panels? Yes, you can install a pet door in a house door with recessed panels. Pet doors with plastic frames can be too flexible to be used on a house door that isn’t flat, and it’s easier to install a cat or dog door with aluminum frame, such as the PlexiDor. The pet door might not open and close as it’s supposed to if the frame isn’t straight. You can use a table saw to cut out thin strips of wood to fill any gaps around the edges. With a little patience, the end result both works well and looks great.