In the 2004–05 season Wright coached Hawks to a BT League and Cup double, beating Dundee HSFP 29–17 in the cup final on the international pitch at Murrayfield. He is also a Scottish Rugby development officer in Dumfries and Galloway. Wright started his coaching at Murrayfield Wanderers, leading them to the SRU Bowl in 2000, before joining Hawks.
On BBC Radio Scotland, Wright said of Scottish players that, "If you tell them six times that they are no good they will believe you, but you have to tell them a million times that they are good to get the same result."