Combine first 10 ingredients in a large bowl, stirring gently.
Shape mixture into 32 (2-inch) patties (about 2 tablespoons mixture each), cover, and chill 30 minutes.
Coat both sides of patties in flour. Cook patties, in batches, in hot oil in a large skillet over medium heat 2 to 3 minutes on each side or until golden. Add additional oil after each batch, if necessary. Drain on paper towels. Serve immediately with Pistachio-Avocado Butter.