The Three Lions travel to France on the back of a flawless qualifying campaign in which they won all 10 of their matches, becoming only the fifth nation in history to qualify for a European Championship with a 100% record.
Roy Hodgson's side scored 31 goals and conceded just three in a barnstorming effort which has given rise to suggestions that they can mount a serious challenge in the summer.
England are without a major title since their World Cup triumph of 1966, but Vardy reckons that the current generation have the collective talent to go all the way if they wish.
"Obviously I want to make sure that I'm involved in the squad and I know that's down to myself," he said in an interview with Betfair.
"But I think you see with the players that are involved there, they're all class and they're a close knit group as well and to be honest with you we can go far and we know that if we put in 100 per cent that we've got a chance of winning it."
England go into the tournament with something of a point to prove after their demoralising group-stage exit at the World Cup in 2014. They will be paired with Russia, Wales and Slovakia in Group B for this summer's finals.
Vardy, who leads the way for the Premier League's golden boot with 19 goals, is unlikely to be left at home for the competition, despite having had a minimal contribution in qualifying.