Wash and dry the carrots. Peel and discard ends. Cut into 2 to 3 inches long and ¼ inch-thick pieces
Diagonally slice green chili into 1-inch pieces
In a small saucepan over medium heat, combine the vinegar, water, peppercorns, coriander seeds, sugar, and salt, stirring just until the sugar dissolves. Remove from the heat
Place the carrots and chili in a glass jar
Pour the vinegar water over it. Allow it to come to room temperature and then refrigerate for at least 1 hour before serving. Refrigerate for upto 2 weeks.