One of the rabbits had to be euthanized, according to KNXV.
Gilbert police identified the owner of the rabbits as Jed Judd, 70, of Gilbert.
"No criminal charges will go forward in this exact moment," Gilbert Police Department spokeswoman Dani Covey told KTVK. "So we're waiting for the medical records to come back from the Arizona Humane Society."
Any charges could qualify as felonies, Covey said.