Cockroaches can enter your home in a number of ways. The following are the most common forms of entry. Packages: Cockroaches love entering homes with delivery packages. Many manufacturers that produce paper, envelopes and boxes have large cockroach problems. If you receive a package, inspect it carefully to make sure it does not have cockroaches or eggs. Guests: Cockroaches can enter homes through visitors. People who currently battle a cockroach infestation may inadvertently introduce cockroaches to your home through suitcases, purses, or anything else they may have on them. All it takes is a few roaches for an entire cockroach population to explode in your home.