Guzan was proud of the way Lambert's Lions roared against championship-chasers Manchester United on Saturday.
He told Villa's website: "I thought the performance against Manchester United was a good indicator of where we're heading. I think it's a sign of good things to come.
"We want to create something special and the manager wants to do that too.
"I feel the pieces of his jigsaw are starting to be put in place. It will take time but we're on the right road definitely.
"That's starting to show. Everyone watching could see what we're all about - desire, determination and a real attacking philosophy.
"We will continue to grow and build under the gaffer. We're improving all the time.
"We're starting to create an identity for ourselves as a team under the manager. It's exciting times ahead."