Yes, You Can Refrigerate Fondant (But There's A Catch) - Tasting Table
Briefly

The article discusses the common misconception that fondant cakes should not be refrigerated. While refrigeration can extend the life of fondant cakes, issues arise from condensation when the cake is removed from the cold environment. Condensation can ruin the texture of the fondant. To mitigate this, bakers are advised to store fondant cakes in cardboard boxes to soak up excess moisture. The article emphasizes that while refrigerating fondant is possible, care must be taken to avoid humidity that can spoil the cake.
Your fondant cake can be refrigerated, but if not monitored properly, the conditions may lead to moisture that ruins the fondant.
To prevent fondant ruin in refrigeration, placing the cake in a cardboard box can help absorb moisture from the fridge.
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