Pat broccoli dry with paper towels. Transfer to a food processor and pulse until very finely chopped. Scrape broccoli into a medium bowl and stir eggs, cheddar, panko and ranch seasoning.
Using a tablespoon measuring spoon and lightly dampened hands, scoop out level tablespoons of broccoli mixture and press into a tater tot shape. Transfer to a plate.
Coat air fryer basket with cooking spray. Arrange tots in a single layer in the basket, then spray with cooking spray. Cook at 200 degrees, turning halfway through and spraying with cooking spray, until crisp, 9-11 minutes.
Arrange tots on a platter. Serve warm with ketchup.
