Following Wales' win over Northern Ireland in the round of 16, and England's humiliating loss against Iceland, Bale and Co. are the last men standing.
The Republic of Ireland also headed back home after hosts France beat the Irish lads 2-1 in their last 16 match.
Chris Coleman's crew is set to face Belgium in an anticipated UEFA Euro 2016 quarter-finals clash and Bale spoke to the press ahead of the game.
Speaking at the pre-match press conference, the Real Madrid forward revealed his team is enjoying their successful progress at Euro 2016.
"We're happy; it's our time to shine. We're the last ones left, and it's an amazing achievement in itself.
"The Northern Ireland game was a very ugly one that wasn't suited to us but to play an ugly game and win shows our spirit and character. We're very happy and proud to fly the flag."
The 26-year-old striker also said his side's 1-0 win over Belgium in the Euro qualifying stage has given the Red Dragons a major boost of confidence.
"It was a changing moment for us as a team, and we're still riding off the confidence. Just one of those where it gave us that extra belief we could really do it. We always did believe but it was a snowball effect.
"From beating Belgium - No 2 in the world at time - it gives you extra confidence and takes you to the next level, we've gone up a level and taken our game on.
"The preparation is second to none.
"We have meetings about what we need to do, when we need to do it, how we need to do it and he makes sure every single player knows exactly what they need to do."
Bale has been central to their success at this top-flight tournament, netting three goals so far and will be aiming to continue his goal streak against Marc Wilmots' Belgium.
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