Assuming the parade route is the same as this year, the Hilton Chicago, Palmer House Hilton, Hyatt Regency and Sheraton Chicago are all close to the parade route, but the Hilton Chicago is the closest, a couple of blocks from Balbo and Columbus, the starting point. The Hyatt is a couple of blocks from the end of the route and the Sheraton is just across the river from the Hyatt. The Palmer House is inland a couple of blocks on State Street and Monroe.
http://www.chicagostpatsparade.com/parade.html