Set among tall palms in the guard-gated Sunset Islands, the property centers on an updated 1930s home with private canal frontage and a boat dock.
Round windows and an angular roofline lend a Deco vibe to the two-story home, which was completely renovated this year. Inside, contemporary interiors feature wide oak floors, vaulted ceilings, an updated kitchen and a media center.
Other living spaces include a step-down living room, a formal dining room and a master suite with a glass-enclosed shower. In all, there are four bedrooms and 4.5 bathrooms in 4,505 square feet.
Outdoors, a covered patio opens onto a long swimming pool. A water-facing terrace extends off the home's upper level.
Stojakovic bought the home in 2012 for $3.675 million, records show.
Dina Goldentayer and Sladja Stantic with ONE Sotheby's International Realty hold the listing.
Stojakovic, 38, played 13 seasons for the Kings,