The winger talked up chances ahead of the showdown with the world champions on Thursday in Gdansk
The Boys in Green lost their Group C game 3-1 and now face world champions Spain on Thursday. McGeady, who created Ireland's only goal in the Croatia defeat, told reporters in Poland that the squad still has a chance of reaching the quarter-finals.
"We're not done with this tournament yet," he said. "We had positives to take from the result against Croatia. Mainly that we were able to come back right after they scored but we were all disappointed that in the end we lost.
"We are hoping that our spirit will come through for us now. We have two massive games ahead of us. Obviously Spain is going to be very difficult for us, but hopefully we can beat them."
The former Celtic player said he was not surprised that Spain could only earn a point with Italy in their group opener and added Vicente del Bosque may alter his tactics from the 'false nine' strategy to selecting a striker instead for the Irish game.
"They might decide to play up with the one striker or they may deploy Fabregas again. But whatever they do we will just have to make sure that we are ready for it. I mean they don't need a number nine to score a goal as they showed us all against Italy," said the Scotland-born player.
McGeady said the mood in the Irish camp is 'okay' following the defeat and that the nation expected the team to pick up points in the remaining games against Spain and Italy.
"Obviously we were really disappointed with the other night but we have to pick ourselves up. Here we have three games to play. It's not just one game and then you're off home. We're a close knit group of lads so the mood is okay," he said.
The group clash with Spain comes almost exactly a decade on from Ireland's defeat to La Roja in the second round of World Cup 2002. McGeady said the significance of the occasion will only spur Ireland on to earn something from the game.
"All you have to do is to look back at the World Cup in 2002. It's Spain and so we have an added motivation but we still know it's going to be very difficult for us," he concluded.