After his rowing career ended, he became a coach and his Swiss lightweight men's four team won gold at the 2016 Summer Olympics.

He immediately coached the Australian men's four to a gold medal at the 2017 world rowing championships in Sarasota, Florida.

[6] At the 1989 World Rowing Championships at Bled, Yugoslavia, he won a bronze in the men's four with Bill Coventry, Alastair Mackintosh, and Campbell Clayton-Greene.

[9] Within a year of Wright starting in Australia, the Australian men's four—consisting of Joshua Hicks, Spencer Turrin, Jack Hargreaves and Alexander Hill—won gold at the 2017 World Rowing Championships in Sarasota, Florida.

In July 2018, Wright coached the Australian Men's Eight to a win in the Grand Challenge Cup at Henley Royal Regatta.

Beating the Romanian National Eight in the Final, Australia would also go on to claim the course record in a time of 5:53 while being in the arguably less-favoured Buckinghamshire lane.