With just seven games of the season remaining, Villa find themselves inside the Premier League relegation zone.
They are, however, only inside the bottom three on goal difference and still have fixtures against the likes of Stoke City, Sunderland, Norwich City and Wigan Athletic to come.
Guzan is confident they can take enough points from those crucial games to preserve their top-flight status, with Villa's fate resting in their own hands.
The American goalkeeper said: "Regardless of whether we're in the bottom three, you look at the table and see how tight it is.
"There's a lot of football to be played and lots of points to pick up. You win three matches and people talk about Europe. So you try not to get caught up in looking at the table."
Guzan, who has seen Villa go 15 league games without a clean sheet, added: "A clean sheet would be nice. I feel confident and sharp, but we don't get caught up in stats.
"At this point it's all about winning. I don't care if we win 5-4. If we win games, that's what it's about.
"We have to come out on top regardless of the scoreline. You have to limit the mistakes and chances we gave away against Liverpool (in a 2-1 defeat on Sunday)."