Cook bacon in a large frying pan over medium-low heat until crisp.
Drain on paper towels; let cool.
Remove pan from heat and discard all but 2 tbsp. bacon fat. Divide avocado wedges among 4 plates.
Heat reserved bacon fat over medium heat.
Add garlic, 1/4 cup water, the lemon juice, and sugar and simmer 1 minute, stirring. Season with salt and pepper. Stir in parsley and crumble in bacon. Immediately pour over avocado wedges and serve.