Preheat oven to 375°F (190°C).
In a medium bowl, beat the softened cream cheese, minced garlic, dash of salt, and chopped green onions until well combined and smooth.
In a small bowl, whisk the egg until well beaten; keep the beaten egg nearby for sealing and brushing.
Place 1 teaspoon of the cream cheese mixture in the center of a wonton wrapper.
Dip a fingertip into the beaten egg and lightly moisten the outer edges of the wrapper.
Bring all four corners of the wonton up to the center and pinch them together to seal; press the sides to form an "X" or star shape. Add more beaten egg to the edges if any spots need resealing.
Repeat steps 4–6 for the remaining wonton wrappers.
Arrange the assembled wontons in a single layer on a foil-lined baking sheet, spacing them about 1 inch apart. Lightly brush the tops with any remaining beaten egg if you want a browned finish.
Bake at 375°F for 5 minutes, turn each wonton, then bake an additional 5 minutes, or until golden and crisp.
Remove from the oven, let cool 1–2 minutes, and serve warm with your favorite dipping sauce.
Air fryer option: cook at 350°F for 7 minutes in a single layer.