Apartments For Rent Noble Square Chicago . Search noble square rentals and noble square apartments for rent. Find more short term rentals and rooms for rent in chicago with june homes. 1251 N Greenview Ave 1, Chicago, IL 4 Bed, 3 Bath Apartment 6 from www.trulia.com An apartment home for rent in this submarket is on average $3,321. Find 300 available apartments for rent in noble square neighborhood, chicago, il. The average home rent in noble square is $3,920.