In a large bowl, combine the shallots, vinegar, garlic, and 1/4 teaspoon salt. Set aside for 10 minutes to allow the shallots and garlic to mellow.
In a medium saucepan over high heat, bring 2 quarts of water to a boil. Add the chickpeas and blanch for 1 to 2 minutes. Drain.
Add the carrot, parsley, and oil to the shallot mixture. Toss in the chickpeas and season with salt and pepper, to taste. Serve immediately.