The Republic of Ireland management team believe that the 2014 World Cup champions will be favourites to win every single one of their Euro 2016 qualifiers
The Boys in Green find themselves in a group containing the recently crowned 2014 World Cup champions, as well as Scotland, Poland, Georgia and Gibraltar, and O'Neill recognises the quality of Joachim Low's side. Nevertheless, the Derry native insists that his team will not "roll over" when they face off.
"They are the best team in our group but that doesn't mean we'll roll over," O'Neill said, speaking on Irish radio station Today FM.
"I'd give anything to qualify for France. We have as good a chance as any other team in the group aside from Germany.
"I want [the players] to go into the games and feel they have a real chance. I want them to play with the pride and determination that is expected of them when they pull on the shirt."
With two teams automatically qualifying for the tournament in France, Keane believes that the Boys in Green have a good opportunity of reaching the finals, despite the threat of the 2014 World Cup winners, who they meet in Gelsenkirchen on October 14 and a year later in Dublin.
"Germany would be hot favourites to top the group," said Keane, who was recently appointed as assistant manager to Paul Lambert at Aston Villa.
"All the other teams would think they have the chance to finish second or third."
He added: "Looking at the other groups, you'd definitely think we got one of the more difficult groups.
"I think the group will be exciting, and very tough. But like when I was playing, we have to believe we can go out there and win every single game."
Ireland kick off their qualifying campaign for Euro 2016 on September 7 when they face Georgia in Tblisi.