Located between Diocletian's Palace and the main bus station, this market is your best bet around the city for locally grown seasonal fruits and vegetables, as well as other favorites like olive oil, liqueurs, and tons more. Granted it looks touristy from the outside, and because of its location you'll definitely come across your fair share of vendors trying to hawk overpriced items/tours to non-natives, but there are also plenty of locals selling fresh, reasonably priced goods here. Just stick to your guns and, like in all foreign markets, do your best to act like you've done this before. You'll not only end saving a few kuna on comparable cuisine/items sold just inside the palace walls, but you'll also leave with the satisfaction of knowing that you helped keep a few Croatian farmers and artisans in business. That's what we call a win-win.
Note:If you're asking for directions, it may help to ask for Stari Pazar, as the market is sometimes referred to locally.