If you like buying at the markets fruits and vegetables VISIT SARAJEVO is you guide to these places.
In the Old Town of Sarajevo you can buy food at Telali market. Not a big market at all but for simple purposes just enough.
Regarding the downtown Center two (Markale Green and Tržnica) plus one (Ciglane) markets are at your disposal.
Markale Green market specialized for all kind of vegetables, fruits. On the other hand there is Tržnica which is a closed type of market specialized for milk and meat products. Together as one complex can offer anything you may need.
Little far away from purest central part of Sarajevo is biggest Sarajevo market Ciglane. Here you have everything one market should have, ranging from food, clothes, gadgets, etc. Best possible offer in Sarajevo.
Also in center of Sarajevo Sirano market for clothes, music and software.
Novo Sarajevo part of the city offers two markets, Hrasno and Grbavica, with nice offer of needed food for everday.
If Novi Grad is the part of the city closest to you, there you will be able to find one of these markets: Alipašino polje, Kvadrant or Dobrinja, which are good markets as well.
At Ilidža settlement Ilidža market is place for you, or at Vogošća part of the city Vogošća market.