Blend together cream cheese, garlic salt and lime juice in a bowl or blender. Stir in chicken until pieces are evenly distributed in mixture.
Preheat oven to 250°F.
Spread butter on one side of each tortilla (about ½ teaspoon). Place tortillas, one at a time, butter-side down in large skillet or griddle over medium heat.
Add about 2 to 3 tablespoons cream cheese/chicken mixture on half of each tortilla. Fold tortillas in half over filling, so buttered side is out.
Grill folded tortillas until golden – about 1 minute per side. Work in batches and transfer cooked tortillas to a baking pan in preheated oven.
Use a pizza wheel to cut each folded tortilla into halves.