An air seal assembly for a gas turbine includes a flow path platform. The air seal assembly further includes a casing disposed radially outside the flow path platform. The air seal assembly further includes an annular finger seal mounted to the casing and disposed between the flow path platform and the casing. The annular finger seal includes a first circumferential portion mounted to the casing, a second circumferential portion extending from the first circumferential portion, and a third circumferential portion extending from the second circumferential portion and contacting an outer surface of the flow path platform. The third circumferential portion includes a plurality of air cooling holes configured to direct a cooling air stream onto the flow path platform.