Quiznos - 600 Blairs Ferry Rd, Ste. E., Cedar Rapids. Quiznos sandwich shops offer flavorful chef-inspired menu items, including grilled flatbreads, salads and wraps! We also offer chicken, freshly-sliced deli meats, artisan breads and cheeses! Quiznos is the perfect menu for your lunchtime! PH: (319) 887-2343. Dine in/Carry Out. Additional location at: 401 Parkside Dr., West Branch.