The 26-year-old will miss England’s first two group games, after having been sent-off against Montenegro in the final game of qualifying.
“I think you go into a tournament hoping you can win it,” he told BBC.
“That’s the main thing. In the past two tournaments [World Cup 2006 and 2010], they’ve ended in disappointment. Now is the time to put that right.”
“We know as players that we’ve been expected to do better than we have done in recent years,” he added.
“We understand that when you play for England you’re there to be shot at. We need to be sure we give our all and that when the tournament comes we try to win. If we do that and we’re not good enough, then we’ll hold our hands up.
“I don’t see why we can’t win it. We’ve certainly got the players and the quality. The new manager coming in has lifted everybody. As players, we know there’s been a lot of changes to the squad and a lot of younger players given the opportunity.
“We expect big things of ourselves, to come out here and do well. If people don’t expect that, it’s down to them. As long as we expect it of ourselves, we know we’re good enough to get to the semi-finals or the final, so that’s the aim.”