Wright won 31 caps for Northern Ireland in a ten-year period from 1989 to 1999. The high point of his Northern Ireland career was his performance in Nuremberg in 1996, as Northern Ireland earned a 1–1 draw against reigning European champions, Germany, in a 1998 FIFA World Cup qualification match. Wright had not played an international match in over two years prior to that point and had just returned to club action, on loan at Reading, after a prolonged injury absence.