Preheat oven to 450 degrees. Evenly coat a large rimmed baking sheet with olive oil and set aside.
2
Place butter and hot sauce in a small saucepan over low heat. Cook, whisking, until butter is melted and hot sauce is well incorporated. Remove from heat and transfer to a large bowl; let cool to room temperature, about 10 minutes.
3
Add chicken, eggs, celery, breadcrumbs, and salt to bowl with butter mixture; using your hands, mix until well combined. Roll chicken mixture into firm, 1-inch round balls and place on prepared baking sheet; arrange the meatballs in rows so that they are touching on all sides. Transfer to oven and bake until cooked through, about 15 minutes.
4
Take out of oven and let stand 5 minutes before removing from baking sheet. Place on a serving platter and drizzle with hot sauce; serve with dressing and celery sticks