The Ulster teenager, the last Irish boxer left in the tournament, will now meet England's Oliver Reece Simpson in tomorrow's 52kg semi-final.
McGuigan, who is president of the Canal BC, said: "Kurt is a superb young boxer. We have high hopes for him. I wouldn't be surprised if he went all the way in Armenia."
Dubliner John Joe McDonagh bowed at the last-eight stage. The Crumlin BC light-heavyweight lost 15-7 to Russian No 1 Idris Shakhamanov.
International Cycling Union president Pat McQuaid has vowed to continue to improve the sport, despite calls for his resignation.
A day after a meeting of pressure group Change Cycling Now called for a change of leadership and three-time Tour de France winner Greg LeMond offered his services as an interim president of the UCI, McQuaid launched phase one of a stakeholder consultation.
All of those involved in the sport, from riders to industry representatives and anti-doping organisations, have until next Monday to respond to a letter from the UCI. The UCI plan to use the feedback to then finalise and announce the format of its stakeholder consultation.
McQuaid said: "We will work together to tackle issues of concern and build a bright future for cycling."
Rory McIlroy was honoured by America's leading golfers by being named the PGA Tour Player of the Year – the 23-year-old becoming the youngest player since Tiger Woods in 1998 to receive the Jack Nicklaus Award.