Zamami Village has a small number of restaurants, most of them near the port or in the main settlement. Options are limited — this is a tiny island — but the food is honest and often excellent.
Several family-run guesthouses (minshuku) serve meals, and staying somewhere that includes dinner is the most reliable way to eat well. Okinawan cuisine is the staple: goya champuru (bitter melon stir-fry), rafute (braised pork belly), somin tamun (cold noodles), and whatever fish was caught that day. Grilled island fish with local awamori rice wine is as simple and as good as it gets.
There are one or two small restaurants near the port serving noodle dishes, curry, and set lunches. A small convenience store sells basics. On busy summer weekends, popular places fill up quickly — eating early or late is advisable. In the off-season, some restaurants close or operate reduced hours; confirm with your accommodation before heading out.