We created this community to make the process of finding a new home, tenant, or roommate, just that bit easier. Chicago law requires landlords to allow tenants to sublease their apartments if requested.Here's what else you need to know about subleasing in Chicago. Furnished Chicago apartments for rent, sublets, temporary and corporate housing rentals. Landlords may ask people to fill out a rental application form and pay an application fee when applying for an apartment. Here's some language for a sample letter requesting sublet permission. Use it in part or full when submitting your proposal. Explore apartments for rent in Chicago, including studio apartments, lofts, and furnished spaces. In Illinois, tenants generally have the right to sublease their apartment or rental unit unless expressly forbidden in their lease agreement. In Illinois, tenants generally have the right to sublease their apartment or rental unit unless expressly forbidden in their lease agreement.