Pour vodka into a ½-gallon glass canning jar with lid. Remove strings and tags from tea bags. Add tea bags to vodka.
2
Wash and dry oranges. Peel oranges; reserve peels. Remove and discard as much white pith as possible from the peels and reserve fruit for another use. Add peels to vodka mixture; gently stir to combine.
3
Place lid on jar. Store at room temperature for 3 to 7 days, turning jar occasionally.
4
To serve, line a fine-mesh sieve with cheesecloth; set over a bowl. Strain vodka mixture through the cheesecloth-lined sieve. Discard tea bags and peel. If necessary, repeat straining until the vodka mixture is no longer cloudy. Store strained vodka in a tightly covered clean jar in refrigerator for up to 1 month. Use in your favorite cocktail recipes.