Abstract: A coolable stator assembly 16 for a gas turbine engine 10 is disclosed. The stator assembly includes an outer air seal 26 and an upstream support 32 and a downstream support 34 supporting the outer air seal about a flow path 14 for working medium gases. Various construction details are developed which enable impingement cooling of the outer air seal at a first location with cooling air and enable ducting a portion of the collected cooling air through the support for impingement cooling of the outer air seal at a second location. In one embodiment, metering holes 112 extend through the supports for directing the cooling air against the edge region of the outer air seal.