Fill a large pot with salted water and bring to a boil.
Add the peeled carrots and cook until just tender, about 15-20 minutes. Drain the water, place the carrots back in the pot, and cover with cold water.
Once the carrots are cooled, slice into rounds about 1/3 inch (8 millimeters) thick. Place in a large jar or bowl.
In a large mortar and pestle, add the peeled garlic and mash with the oregano, cumin, paprika, salt, and white pepper to form a paste.
Add the 2 tablespoons (30 milliliters) olive oil and continue to crush until everything is well blended. If a mortar and pestle is not available, the garlic can be grated, then mixed with the spices.
Transfer the mixture to the jar with the carrots.
Pour in the vinegar, then the water. Stir gently to mix without crushing the carrot rounds.
If the carrots are not fully covered, add a little more equal parts vinegar and water.
Cover and refrigerate for at least 4 hours to overnight.
Remove the carrots with a slotted spoon and arrange on small serving plates.
Sprinkle with salt, olive oil, and freshly chopped parsley, then serve immediately.