In a large bowl, combine the thinly sliced brussels sprouts, toasted pecans, and dried cranberries.
In a small bowl, whisk together the olive oil, fresh lemon juice, dijon mustard, minced garlic, salt, and black pepper until well combined.
Pour the vinaigrette over the brussels sprout mixture and toss to coat evenly. Add the shredded parmesan cheese and toss again.
Serve immediately or let it sit for about 10-15 minutes to allow the flavors to meld.
Notes
This salad can be made ahead of time. The brussels sprouts will soften slightly if left to sit in the dressing for longer periods, which some people prefer. For a crunchier salad, dress just before serving.