Cockroaches typically do not bite humans. However, they are known to bite humans if they have food residue on their hands or mouth area. Cockroaches usually do not bite when people are awake. They will usually come out at night when a person is sleeping. The cockroach is an insect that will run and is not going to bite when approached.
If you are concerned about cockroaches in your home or when on vacation, there are steps that you can take to eliminate any concern. The best way to do this is to wash your hands and face. This can easily be done by using any type of soap that will wash away food residue.
Make sure to wash your face and hands frequently, especially before going to bed. Instead of using the bedding provided by the hotel where you are staying, bring your own bedding. Make sure that you do not leave any food out overnight.