Gordon Strachan's men pulled off a major shock when they claimed their first win of the World Cup qualifying campaign in Zagreb against the top seeds.
Talk before the match had centred on how many goals the Croats would win by as they aimed to bolster their goal difference as they battle Belgium for top spot in Group A. Instead, it was Robert Snodgrass who proved to be the difference on the night with the only goal of the game after 26 minutes.
The rest of the team also played their part in one of the more impressive performances from the national side in recent times, which lifted the Scots off the bottom of the section. And Martin, whose usual position is right back but he played in the heart of defence alongside Grant Hanley, was one of the star performers on the night.
He told BBC Scotland: "It's probably one of my proudest nights in football to be honest. We came to the team that is ranked fourth best in the world, we had a depleted squad and that had been much talked about all week."
Scotland headed into the match already out of the race for Brazil in 2014 and ranked 70 places below their hosts. And Martin believes they proved some of the doubters wrong.
The Norwich defender said: "I think we have shown people we have got the quality when it's needed. It was backs to the wall stuff in the second half but we were resilient and strong.
"The squad has stuck together and the fans were brilliant behind us. It's a massive result, a magnificent result."
Describing his goal, Snodgrass said: "I just gambled. It was a great run from Shaun Maloney and as a winger that's what you're told to do, to gamble.
"I did that and, luckily enough for myself, I got the goal."