Flossmoor Il Apartments For Rent . One bedroom apartments average $867 and range from $800 to $985. The average home rent in this city is $1,890. 1139 Leavitt Ave 212, Flossmoor, IL 60422 Trulia from www.trulia.com Dogs allowed & cats allowed. You searched for apartments in flossmoor condominiums. Apartment finder has you covered!