It is the first time Cork, on loan at Southampton from Chelsea, has made the step up to the U21 side having represented the Three Lions at all previous levels.
Cork, 19, spent last season on loan at Glanford Park, playing 35 times and scoring twice.
The Wolves defender Richard Stearman, 21, has also been called up by the coach Stuart Pearce.
The pair have been added as Micah Richards and Aaron Lennon pulled out of the squad because of injuries.
England travel to Ninian Park in Cardiff on Friday night for the first leg of the tie, with the second leg at Villa Park on Tuesday.
The winner of the tie will go through to next summer's European Championship finals.