The Putnam-Parker Block, also known as City Square, are historic structures located in downtown Davenport, Iowa, United States. The property is three buildings that take up the south half of block 43 in what is known as LeClaire's First Addition. The main façade of the structures face south along West Second Street. They were listed on the National Register of Historic Places in 2011. In 2020 it was included as a contributing property in the Davenport Downtown Commercial Historic District. The former Putnam Building now houses a Marriott Autograph Collection hotel named The Current Iowa.