The American is confident the character of the team will see them safe.
"They have good players. If you give them opportunities like that, they are going to take them," Guzan told Villa's website. "Unfortunately we came up a bit short.
"But we will stick together, continue to fight. There are a lot of points to play for. It's a little bump in the road. But we have to go again.
"It's a collective effort. Individually, the guys are confident in themselves.
"There is no lack of belief. We continue to stick together. We help each other. We continue to fight. There are a lot of points to play for. We go again next week."