Cahill was at the heart of Chelsea's rearguard effort that took them past defending European champions Barcelona and then Bayern Munich to Champions League glory.
The Chelsea defender stressed he is excited by England's attacking options, even with Wayne Rooney suspended for two matches.
But the ability to win the hard way if necessary is a vital one.
"In this sort of tournament, knock-out football, sometimes you win playing good football and sometimes you win playing backs-to-the-wall football," Cahill told Press Association Sport.
"It truly is all about the results. It is nice to win games playing well but what I have learned in the last six months, it is also about getting the right results.
"If we did that with England this summer it would be fantastic.
"There is some great quality in this squad. There are some great players here and we should be going into the games confident."
England have been drawn in a tough group at Euro 2012 and open their campaign against France.
The recent change in manager, with Roy Hodgson taking over from Fabio Capello, seems to have dampened expectations among the public.
But Cahill sees no reason why that should be the case.
"I don't see why it should," he said.
"It is the same players who have come in. The manager who has come in is vastly experienced in football around the world.
"I only met the gaffer twice before meeting up with England and he came across well.
"I am looking forward to working with him and his staff. We have some fantastic players and a great squad.
"And we are going in with a vastly experienced manager."
Asked whether his own expectations were for England to go all the way and win the tournament, Cahill said: "I don't see why not, especially when you have the players here who have experienced winning things and experienced going through the stages to reach semi-finals and finals."
Cahill, speaking at an event for Umbro, official kit suppliers to the England team, hopes his role in Chelsea's run to their first Champions League title will convince any doubters that he is ready for Euro 2012 duty.
The 26-year-old won only one cap from his first 12 England call-ups, off the bench against Bulgaria in September 2010.
But he has now started five of the last seven internationals, and he is expected to play in England's pre-tournament friendly against Belgium this weekend and he brings new-found big-game experience to the squad.
"The big games I have been involved in this season, the huge games in the Champions League, have been great for me," said Cahill, who is tipped to start alongside Chelsea club-mate John Terry against France.
"People that might look at you and say 'He hasn't had this experience or played in these sorts of games' - you have now.
"I think that helps. Hopefully that will help me, if selected. You have been through big games already.
"These are going to be huge games for whoever is selected. With the Three Lions and the pride and everything that comes with it, they will be massive games but ones we are looking forward to."
Cahill, who was rested for England's win against Norway following Chelsea's Champions League exploits, believes Saturday's friendly against Belgium is the best possible preparation for the France game.
And it will also pitch him against prospective new club-mate Eden Hazard, who claimed on Twitter that he is joining Chelsea.
"I have seen bits of him and he looks a fantastic talent, doesn't he?" Cahill said.
"They have some massive players. He will be one of many on the night.
"I have seen him the last couple of seasons for his side. He will be a threat for sure."
Asked whether he can make his mark on the Premier League, Cahill added with a smile: "I hope so."