They open their Group B campaign against Slovakia in Bordeaux on Saturday before coming up against England and Russia.
“The manager (Wenger) was pleased for me that we qualified,” said Ramsey.
“He said we could be pretty dangerous over there so hopefully that proves to be right. He’s a wise man.”
Ramsey knows Wales’ first objective is to qualify for the last 16 knock-out stage, but cannot help but eye up the England clash in Lens which promises to be a special occasion.
“I think a win – three points – will probably get you through, maybe in third place,” said Ramsey.
“But we’re determined to go there and not get rolled over.
“We want to make an impression ourselves and show people that we can rise to the occasion.
“A few players and members of staff didn’t want England because of all that goes with it, but I was buzzing when their name came out.
“Perhaps because I play with a few of them, the banter came out really quickly.
“I’m excited for it, but the first game is crucial for us.
“We need to get off to a good start and go into that one with full of confidence, because momentum can do a lot for teams.”