Run Forest run!!! Its not uncommon to see cockroaches and other pests in the tropics however, with proper management and pest control by a professional Pest Control Company you can keep the little critters at bay! Cayman is fortunate in having many pest control provider, companies like Bug Buster and Pestkill who are experienced and knowledgeable. Most Grand Cayman hotels, condos and private residences take quarterly pest control contracts with a local provider. They take care of household pests including cockroaches, and rodents etc.