Fig leaves are not poisonous to goats, but they are not a good source of nutrition. Goats should not eat fig leaves because they are high in fiber and low in protein. Fig leaves can also cause digestive problems in goats.
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Yes, goats can eat fig leaves

Fig leaves are a good source of fiber for goats, and they also contain vitamins A and C. Yes, goats can eat fig leaves. Fig leaves are a good source of fiber for goats, and they also contain vitamins A and C.
Goats will usually eat the leaves of any plant, but they especially like fig leaves. If you have a fig tree in your yard, your goats will probably be very happy to munch on the leaves.
Conclusion
No, goats cannot eat fig leaves.