Armagh are facing a “brilliant team” in Galway this weekend as the pair face off in the final round of the All-Ireland group stages.
Both teams can claim the top spot in Group Two and earn a spot in the last eight of the race for Sam Maguire.
The sides collided in an epic encounter last summer in Croke Park, which Galway eventually won after penalties.
This season, they met in round six of the National League and Galway edged another extremely tight affair.
“We’ve played them twice before,” said McGeeney following his sides recent two-point defeat to Tyrone.
“The drawn game, extra time and a draw and I suppose then the league game they scored a goal in the last minute to win by two-points.
“We’ll have a go. Galway are a brilliant team; (Padraic) Joyce has done a great job. They have a great defensive structure in place.
“They play a double sweeper, they’re very good on the break. (Damian) Comer and (Shane) Walsh then are two special players up front.
“They’re a good team but I think we have the players to play most teams as we’ve shown all year.
“We’ve just, I suppose at the balance of the tipping point, we’ve just come up short. The largest that we’ve got beat by all year is three points.”
Armagh lost out via a shootout once again this season in the Ulster final, with Derry prevailing on penalties.
McGeeney believes that his side are capable of matching any of the top sides but are missing “that wee bit of luck” to get over the line.
“They’re working hard, and we’ve been very competitive,” added McGeeney. “I think we’ve shown that we can play with any of the top teams.
“But at the end of the day these boys want to win. That’s the thing, you want to get over the line. You can have the hard luck stories but sometimes you just need that wee bit of luck.”