Add the sliced shallots to a bowl. Pour the cream over the shallots. Let soak for 10 minutes.
Add the flour, salt, and pepper to a shallow bowl. Mix well.
Using a fork or tongs, lift the shallots from the cream, shake off any excess, and drop them in the flour.
Toss the shallots in the flour to fully coat them.
Add the avocado oil to a medium-sized saucepan and heat over medium-high. Once the avocado oil has reached 250°F- 350°F, lift the shallots from the flour, shake off any excess, and drop them into the oil. Fry the shallots until golden brown, then transfer to a paper towel-lined baking sheet.
If you do not have a kitchen thermometer, test the oil with a small shallot before adding the rest. The oil should bubble around the shallot and should not take more than 20 seconds to turn golden brown.