"We want to do right by our athletes and it was unclear on the day if the decision was right. We definitely stand by him."
Silver winner Wilde was penalised for unclipping his helmet early between the cycle and run legs. He was 16 seconds ahead of Yee at the transition and finished the race 13 seconds behind him.
After reviewing many angles of the incident for almost an hour, the race jury simply couldn't make a final call.
"It's happened before, that there's been a double gold medal," Wilde said after the race in Birmingham. "We're amazing mates behind the scenes and we're great rivals on the course. I do not want to take that medal away from him - he absolutely deserves it.
"When I crossed the line, I told everyone that there was nothing we could do now. But it sounds like we can try to do something. I don't know too much about it.
"It's the first time I've been in this scenario so I'm as clueless as you guys."