AutoZone is a leading retailer of aftermarket automotive parts and accessories, offering OE or better car parts for most domestic and import vehicles. They stock everything from air filters to brake pads and batteries to window regulators. AutoZone also offers free battery testing and installation with purchase, as well as free engine diagnostic testing.
In terms of replacing battery cables, AutoZone does not replace them outright. However, they do sell the necessary battery cables for most makes and models of cars.
Additionally, their staff is trained to assist customers in finding the right part for their car and to install it properly. So, while they may not replace the cables themselves, they can certainly help you get your car back up and running if the battery cables need to be replaced.