Preheat the oven to 425 degrees F (220 degrees C).
Beat the cream cheese in a medium bowl until fluffy. Mix in crab, garlic, salt, pepper and hot sauce. Spread onto bread slices and top with Swiss cheese. Place on a baking sheet.
Bake for 10 to 15 minutes in the preheated oven, until the cheese has melted and browned slightly. Sprinkle with parsley, and serve.