Much of the debate in Ireland this week has surrounded manager Giovanni Trapattoni's plan to deal with the mercurial Ozil, with the Italian having hinted he may consider asking one of his midfielders to take on the "impossible" task of man-marking him.
However, O'Shea, who will captain the team in the absence of the injured Robbie Keane, knows how dangerous it could be to concentrate on one man when the two teams clash on Friday night.
He said: "He is a fantastic player, but if we focus our attention too much on one of Germany's players, they have plenty of others with the quality to punish you.
"I played against [Lukas] Podolski in the first game of the [Premier League] season, so I am well aware of his qualities.
"But if I was to go through the whole team, I would be here for quite a while talking about their quality and ability. We have to be on guard for all the German players."
The Germans arrived in Dublin on Thursday afternoon hot favourites to maintain their 100 per cent start to the campaign and secure automatic qualification from Group C.
Ireland's hopes of halting that procession have been dealt a succession of blows to an injury crisis which has robbed Trapattoni of defenders Richard Dunne and Sean St Ledger, midfielders Glenn Whelan and James McClean and strikers Kevin Doyle and Keane.
However, O'Shea insists a much-changed side - Seamus Coleman will make his first competitive start at right-back and there are rare opportunities in midfield for James McCarthy and Keith Fahey - can still upset the odds.
Asked if he would settle for a draw, the Sunderland defender said: "If we are going into a home game against anybody, we are confident we can win. But they are the second-ranked team in the world and we will see how the game goes.
"Sometimes when you get a draw, you are delighted, like when you score the equaliser in the last minute. On the other hand, if you score the first goal and concede in the last minute, then you are not very happy.
"We will wait and see, but obviously we want to win and we know how tough that will be."
O'Shea admitted his pride at being asked to lead the team out as he wins his 82nd cap, but he knows everyone who pulls on the green shirt on the night will have to take on a huge responsibility.
He said: "To be captaining your country is special and to do it in a competitive match against Germany will be very special.
"But more importantly, we need 11 leaders on that pitch. It is a classic cliche, but for a game like this at home against Germany, we are going to need a massive effort, not just from the lads starting, but from everybody preparing to come on as well."
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