Preheat your oven to 400°F (200°C).
In a large bowl, toss the parsnip strips with olive oil, minced garlic, thyme, salt, and black pepper until well coated.
Spread the seasoned parsnips in a single layer on a baking sheet.
Roast in the preheated oven for about 20-25 minutes, or until the parsnips are tender and slightly caramelized. Be sure to flip them halfway through for even cooking.
While the parsnips are roasting, prepare the garlic crostini. Preheat your oven's broiler.
Place the baguette slices on a baking sheet. Toast them under the broiler for 1-2 minutes on each side, or until they become lightly golden.
Remove the toasted crostini from the oven and immediately rub each slice with a peeled garlic clove. This imparts a subtle garlic flavor
rush the toasted and garlic-rubbed crostini with olive oil. Season with a pinch of salt and black pepper.
In a separate bowl, toss the fresh arugula leaves with balsamic vinegar, olive oil, salt, and black pepper until well combined.
Spread a layer of vegan ricotta or feta cheese on each crostini before adding the roasted parsnips. Alternatively, you can leave the crostini plain without cheese spread. Top each crostini with a handful of the balsamic-dressed arugula.
Garnish with additional thyme or rosemary, a drizzle of olive oil, or a sprinkle of vegan Parmesan cheese, if desired.