Villa manager Martin O'Neill agreed a fee in the region of £2million for Guzan during the January transfer window but the deal was scuppered after he failed to obtain a work permit.
And Guzan's increased number of international appearances - he has been involved in five of the last eight internationals - means Villa are more hopeful of gaining Home Office approval.
In addition to his appearance against England, he has started against Sweden and Barbados and came off the bench against Switzerland, South Africa and Spain in internationals since October 2007.
Guzan said: "I would love to sign for Villa. When I was there in January for a few days it was an absolutely brilliant time. Great people, great facilities and I couldn't say one bad thing about it."
"It looks like exciting times at Villa and I would love to play for Martin O'Neill.
"When I met Martin at the end of January he was a fabulous guy, a great person. The entire staff were outstanding.
"It is about the whole way he carries himself as a manager. To have a guy like Martin O'Neill saying good things about you, it makes you feel good as a player.
"And as a person it makes me feel good to have that interest from such a well-respected manager.
"Being amongst good people who understand the game of football and are people who able to put players out on the pitch to compete week-in, week-out, that is important to me and that is what I want to be involved in."
"Hopefully it all goes well (with the work permit). Hopefully I will be able to sign."