Cats may eat cockroaches because their nature is to hunt, so when they see a cockroach they will want to catch it. In the process, the cat may bite the cockroach to death and eat it, but some cats just eat the cockroach. It will be bitten to death but will not be eaten. If there are cockroaches in your home, it is best not to use cockroach medicine to avoid poisoning if your cat eats it by mistake.
Tips:
You can use cockroach-killing gel bait, which is safer and more effective.