The Dark Blues skipper fired home the only goal of the game in Molde 16 minutes into the second half.
But his strike was overshadowed by a clash with former Southampton defender Vegard Forren midway through the first period, when he appeared to kick out at the grounded Norwegian.
It comes as the Celtic midfielder prepares to serve the final game of this three-match Champions League ban for a similar act of aggression targeted at Barcelona star Neymar.
However, Greer instead preferred to focus on the skipper's match-winning performance.
He said: "It was just one of those things. I don't think there was anything in it. Browny gives his all in every game and that is what makes him such a special player.
"I'm surprised he didn't celebrate his goal more because it was a fantastic strike.
"I'm really pleased for him because ever since I've been involved with the squad he has been outstanding. He is crucial for this team and especially for me as a defender because he is always giving you options. I think he's a fantastic player."
Scotland survived an opening hour in which they were vastly outplayed before snatching a victory that takes their unbeaten run to four games.
Brighton defender Greer made his debut in Friday's 0-0 draw with the United States and admitted he was happy with his opening two performances.
And he also hailed the displays of goalkeeper David Marshall, although he remains unsure if the Cardiff man can usurp the injured Allan McGregor as Scotland's regular number one.
He said:"When you make your debut it is up to you to do as well as you can because there are others who want the jersey but I feel I have done well.
"It was great to get another clean sheet tonight. David has pulled off a couple of great saves.
"He is playing so well right now but ultimately it is down to the manager if he can take that place as permanent number one."