Wright was first a goalkeeping coach for
Norwich City but left when
Glenn Roeder resigned. He was then appointed Youth Development Officer at
Ballyclare Comrades. In November 2003 he made his first move into management at
Limavady United and stayed for a couple of years. Wright was then appointed manager of
Ballymena United and reached the
County Antrim Shield against Linfield at Seaview. Wright resigned at the end of the 2007–08 season. He was a full-time goalkeeping coach at
Shamrock Rovers for the
2009 League of Ireland season under his former teammate
Michael O'Neill. In September 2009 he was appointed manager of
Lisburn Distillery. His first game was against his former club Ballymena United, which Lisburn won by a single goal.
St Johnstone Wright left Distillery in November 2011 to become assistant manager of
Scottish Premier League club
St Johnstone. After
Steve Lomas left the
Perth club to manage
Millwall in June 2013, Wright was promoted to manager. Wright's first game in charge was a UEFA Europa League tie in Norway against
Rosenborg. St Johnstone won 1–0, their first-ever away victory in European competition. The second leg ended in a 1–1 draw, putting St Johnstone through 2–1 on aggregate, and through to the third round of the qualifying stages for the first time. Despite winning 1–0 win against
Minsk in the first leg of the next round, they went on to lose on penalties. After the match, Wright criticised Minsk, believing they lacked class in victory. After winning two games and drawing once in October, Wright won the Scottish Premiership Manager of the Month award. In March 2014, Wright was involved in a touchline incident with
Dundee United manager
Jackie McNamara. This resulted a one-match ban for Wright. A few days later, Wright was taken to hospital after suffering stomach pains. Despite being in the hospital, Wright was still involved in the squad selection ahead of a match against
Hibernian. The operation was a success, and Wright made his return in a match against
Partick Thistle. After Wright led the club to a top-six position in the Premiership, he guided them to their first Scottish Cup Final after a 2–1 win over
Aberdeen. They were victorious in the 17 May,
Final meeting with
Dundee United at
Celtic Park. It was St Johnstone's first major trophy win. Wright signed a new contract with St Johnstone in August 2014. He signed another contract with St Johnstone in October 2015, soon after the club had rejected an approach from Dundee United for Wright. He was voted
Premiership Manager of the Season for the
2015–16 season, leading St Johnstone to another fourth-place finish and a third domestic cup semi-final, losing out to
Hibernian. St Johnstone secured a third successive fourth-place finish in the Premiership in
2016–17 under Wright, with two games remaining, also qualifying for
Europe again. Wright resigned as St Johnstone manager on 2 May 2020.
Kilmarnock Wright was appointed
Kilmarnock manager on 8 February 2021. Kilmarnock finished the
2020–21 Scottish Premiership in 11th place, and were then relegated to the
Championship after they lost a play-off to
Dundee. Wright was sacked by Kilmarnock in December 2021, with the club sitting in 5th place in the
Championship.
Northern Ireland U21 Wright was appointed
Northern Ireland U21 manager on 14 August 2023 == Media work==