Wales dropped into the third tier of nations in the IRB’s rankings following the agonising loss to Australia.
The World Cup draw takes place in London this afternoon and Warren Gatland’s men could find themselves in a tricky pool.
But Cuthbert is not worried about the prospect of being draw in a ‘Group of Death’ and would relish the challenge.
“Facing New Zealand or England would not faze me. I would look forward to it,” said Cuthbert.
“We have quality players and on our day we can beat anybody. The boys showed during the last World Cup that we can beat the best teams.
“You want to play the best teams and we will look forward to facing whoever we are drawn against.”
Cuthbert burst onto the international scene after the 2012 World Cup but Jon Davies was one of the stars as Wales marched to the semi-finals.
And the Scarlets centre agrees that Wales should fear nobody following their exploits at the last edition.
“With what we did at the last World Cup, I think people will be fearing us, not the other way around,” said Davies.
“It’s not an ideal situation, but we had a tough group last time, so I am sure the boys will be pretty confident that whoever we draw we can compete with them.
“We’ll just take whatever we get.”
Wales are still reeling from their heartbreaking loss to Australia that put them in such a perilous position ahead of the draw.
Cuthbert has already faced Australia five times since making his debut against the Wallabies exactly a year ago today.
Wales tasted three narrow defeats in the summer, as the lost by a combined total of just 11-points, but Cuthbert insists Saturday’s loss was the most bitter pill to swallow.
We have got the physicality and calibre of players to compete with the world’s best,” added the Cardiff Blues wing. “I think it is just that mental edge, maybe, and that little bit of luck.
“We put so much effort into that game, so to come away with a loss in the last minute is pretty heartbreaking.
“We were comfortable throughout the whole 80 minutes and had a few chances when it opened up in the first half.
“We went in front, but it all got a bit loose in the final minute and they ended up finding a mismatch and scoring in the corner.
“It is definitely the worst I have been after a game. I was bad after the second Test in Melbourne, when we lost by a kick, but this is a kick in the guts even more, especially at home and in front of our fans, who had really got behind us.
“For Australia to score in the 80th minute was heartbreaking, gutting, upsetting.
“I thought we deserved the win. We played the rugby. They’d only made one other break during the match.
“But you can never write Australia off. They are a world-class team with the ability to win like that.
“It is just getting over that line. We are getting closer and closer. We have got the calibre and quality of player but it’s just so frustrating we haven’t be able to do it.”
