Add 4 inches of oil to a large heavy-bottomed stock pot set over medium heat. Attach the deep-fry thermometer to the side. Line a large plate with paper towels.
In a medium bowl, whisk together the mashed bananas, eggs, sour cream, melted butter and vanilla extract.
In a separate medium bowl, whisk together the flour, sugar, baking soda, cinnamon and salt.
Add the wet ingredients to the dry ingredients and stir just until combined. (The batter should be stiff.)
Once the oil reaches 325°F, use a small ice cream scoop (or two spoons) to add heaping 1-tablespoon scoops of dough to the hot oil. Add several scoops of dough to the pot while being careful not to overcrowd it.
Fry the fritters, flipping them as needed, until they are golden brown, 3 to 4 minutes.
Use a slotted spoon to transfer the fritters to the paper towel-lined plate.
Repeat the frying process with the remaining dough, returning the oil to 325°F between each batch.
Dust the banana fritters with confectioners’ sugar then serve.
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