There are so many species of snapper and they do not all spawn at the same time. These fish spawn from spring through fall and most species of snapper do spawn during the summer months. Some of these fish will spawn multiple times throughout the spawning season. If you happen to find some of these spawning snapper, you will usually find them schooled up in large numbers. If you can get on top of them, you should be able to fill your cooler in a short amount of time.