Refrigerating bananas will slow down the enzyme action that leads to decay. What this means is that refrigerated brown bananas will continue to ripen, yet they will do so more slowly. Expect your refrigerated bananas to be brown, but know they are safe to eat as long as they aren’t fuzzy or oozy. Note: Brown bananas are ideal for baked goods, as the bananas will deepen in flavour and sweetness as they darken in colour.