The England captain expects a physical approach from the team ranked 186th in the world, who held Steve McClaren's side until half-time when they last met.
Supporters famously turned on McClaren and the mood remained hostile when England failed to
qualify for Euro 2008 – but Terry feels it is a fresh start under Fabio Capello.
The Chelsea defender is looking for a morale-boosting performance to lift spirits ahead of the game against Croatia in Zagreb on Wednesday that could define their campaign to reach the 2010 World Cup, although any victory over the minnows in Barcelona will do.
"It's about the result for me, I'll take three points, whether it is
2-0, 3-0," Terry said.
"Maybe the fans don't want to hear that. Hopefully, it will be more than that, we are not going out there to win 1-0 or 2-0 that's for sure.
"It's all about three points and moving forward into the Croatia game."
Terry accepts that is time for England to deliver after five friendlies under Capello.
"We've had the friendlies before – it all starts now," he said. "Performances and results are judged on this game and the matches after that.
"We've had a lot of preparation, different players, tactics and styles of play. It's now we're going to be judged.
"We want to get the ball rolling and go again. I've spoken before about the disappointment of not reaching the Euros and this is a fresh start.
"Not qualifying is still burning in a lot of the players. We all have another chance to come into the campaign and change things."
Terry has urged fans to get behind England at the Olympic Stadium at Montjuic.
He added: "As players we understand and take the responsibility of the last two years of disappointments. We understand the fans' frustration.
"After 20 minutes last time the fans did not get their goal and they went against us. Stick with us, it's a new campaign, it's a fresh start and we go again. We can't dwell on the past.
"We have to move forward and move forward together.
"We need the fans' support, we realise they pay an awful lot of money for their tickets and travel – and it's about time we put on a performance and got the results for the fans and the whole nation."
As well as Capello's first competitive match, it is Terry's first qualifier since being reinstated as captain – and he is determined to bring success to England.
"For me it means the world to be England captain," he said. "I know in my lifetime I have a very good opportunity to make England successful, along with the players around me and the manager.
"That is something I'm going to take with both hands and try to make England successful again."
Arsenal boss Arsene Wenger, meanwhile, has expressed his "complete confidence" in Capello getting England off to a flying start in their World Cup qualifying campaign.
Capello's tactics were called into question following the 2-2 draw against Czech Republic last month, but Wenger expects the Italian to get it right in his first competitive matches, starting with tonight then the game against Croatia on Wednesday night.
"I have complete confidence in Capello to turn things right," said Wenger.
"England did not play well against the Czech Republic like we did not play against Fulham (two weeks ago), but it does not make Capello a bad manager.
"They have a relatively soft start against Andorra but the real test will be Croatia.
"So get three points first and then they have nothing to lose in the next game."
Wenger's confidence is not shared by 1966 World Cup winner Martin Peters, who believes Capello needs to solve the problem of where to play Wayne Rooney.
"We've got a problem up front," he said.
"I don't think Capello knows who to play up there with Rooney.
I don't like seeing Rooney up there on his own because he gets frustrated.
"He needs a partner, but I'm not sure we've got the right players to link up with him."
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