They have been appointed following the recent dismissal of Pete Steindl and will take charge when the squad fly to New Zealand today.
Steindl's removal has still to be formally confirmed but Roddy Smith, the chief executive of Cricket Scotland, said in a statement: "Paul Collingwood will lead the coaching team . . . in New Zealand in conjunction with performance development manager Craig Wright. They will be supported, in a team again managed by Euan McIntyre, by performance analyst/fielding coach Toby Bailey, strength and conditioning coach Simon Smith, and physiotherapist Mhairi MacPhail. All were part of the Scotland coaching and support team at the recent tournament in the UAE, Collingwood and Wright stepping up from their assistant coaching roles to head up the team."
Wright would not discuss Steindl's situation but said: "Paul and I have similar cricketing philosophies and hopefully we will be an effective pairing. We want to see the guys playing positive cricket and imposing themselves on the opposition."
The Scots head to Christchurch just a month after their T20 World Cup qualification bid ended in failure and led to Steindl's exit. They were unable to finish in the top six of the 16 teams in the United Arab Emirates and their task in New Zealand, where only two places at the 2015 World Cup are available, looks much harder.
Wright added: "The good thing about this tournament coming so soon after the last one is that the guys have the chance to put things right. It would have been much worse if they'd had to wait until the summer; there is a real determination to get it right this time. Paul and I just have to tweak one or two things; the ability in the squad is definitely there."
The Scots open against Hong Kong on January 13 and also face Nepal, UAE and Canada in the group stages.