The Celtic skipper, 28, made his first appearance in dark blue as a Hibernian player in November 12, 2005, when he came on in the second-half against the Americans at the same venue with the friendly game tied at 1-1.
A linesman's flag denied him a dream debut goal after he had the ball in the net from a James McFadden pass.
Speaking at the Scots' Mar Hall training base on the outskirts of Glasgow, the midfielder looked back at that night.
"That was a long time ago," he said. "It was a great moment in my career and I even managed to score - and I thought it was onside.
"I think it was Kasey Keller who was in goal (for the USA).
"Faddy got the ball and I ran through, and it was touch and go whether I was onside or not but I have to give myself the benefit of the doubt.
"It was huge for myself and my family, a great day, a great occasion and from there it has been fantastic.
"I think I have grown up and matured a bit, and playing a different role in the middle of the park, a more free role than I had at Hibs."
So far, Brown has not been able to help the Scots qualify for the finals of a major tournament - the last one was the 1998 World Cup in France - and he admits that is his goal.
"I think we need to get to the Euros or the World Cup," he said. "It has been a long time since we got there. France 1998 was the last one and we just have to get back there."
Brown admits Friday's game offers a chance to avenge the 5-1 friendly drubbing handed out by the Americans when they played Scotland in the summer of 2012 in Jacksonville.
He said: "The outcome of the last game wasn't the best for us but this a chance to prove ourselves and show that we have moved on.
"We have got a different manager and we are setting up differently so we will see how it goes.
"We have been positive in training.
"We are trying to get in as many games as possible before we start the 2016 European Championship qualifiers next year. The more games the lads get, the better it is."
- Sports & Recreation
- Kasey Keller