when can you prune fig tree in southwest louiaians?

The best time to prune not only fig trees but all fruit trees in the south (including Louisiana) is in February. Luckily fig trees are very productive even without a lot of pruning so you can prune just a bit or a lot depending on what you like. The recommendation for pruning however is to prune dead, damaged and diseased limbs as well as tree limbs that are rubbing together. If you stick to that recommendation you will have a high yield of fruit and a healthy tree.