Villa's horrendous home form this season again returned to haunt them on Saturday as they suffered a woeful 2-0 loss to relegation rivals West Ham.
Come the final whistle the jeers that greeted Villa's eighth home Barclays Premier League loss - equalling the worst in the top flight this term - were long and loud.
It means manager Paul Lambert's side are now just four points above the relegation zone ahead of another crucial clash on Tuesday when they travel to Cardiff who are currently one off the bottom.
Guzan said: "Nobody likes to be booed.
"But they have a right to express their displeasure when things are not going our way, just as they express their gratitude when we put in a good performance.
"Nobody wants to lose, and whether you are home or away, fans are going to express their displeasure - rightfully so.
"It comes with the territory of being a professional footballer, so you take it on the chin and you get on with it.
"If there's going to be a bad reaction, we're man enough, big enough to take it. We're in this thing together.
"You have to continue to fight and play football, regardless of the surroundings and what is going on around you.
"The game doesn't stop in the 50th minute because you made a bad pass or this or that. You get on with it.
"We're confident in each other's ability, and more importantly, we're confident as a team."
Guzan feels the trip to south Wales offers Villa an immediate chance to banish the memory of such a miserable display against West Ham.
"It's an opportunity to get their fans on their back a little but, and put in a performance we can be proud of and get three points," added Guzan.
"We all want Aston Villa Football Club to do well, and the fans have been fantastic towards us in terms of helping us push forward.
"They've been behind us since day one of last season when there were a few changes going on at the club.
"We want to do our best to reward them with good performances, good play, and ultimately good results."
Lambert, meanwhile, is willing to sit down with young midfielder Marc Albrighton in a bid to keep him at the club.
Albrighton has been with Villa since he was a trainee, signing his first professional contract in the summer of 2008, although has only made 91 appearances in total over the past five and a half years.
The 24-year-old, who was loaned out to Wigan earlier this season, has been hampered by injuries over the past two seasons which have failed to aid his cause.
But not for the first time Albrighton showed on Saturday the talent he possesses after coming on as a 56th-minute substitute soon after Villa had gone 2-0 down.
Although it was a situation Villa failed to recover from, Albrighton did enough to suggest he should start at Cardiff on Tuesday, and be handed a new deal soon.
Asked whether he was planning to thrash out another contract with Albrighton, Lambert said: "I'll definitely sit down and talk to him.
"It's just the way things have worked out with games, his injuries, one after the other, but I know he's out of contract, so I'll sit down with him.
"Every time he has come on for me he has done well. He's just been really unlucky with his injuries which have kept him out for a long spell.
"But he was excellent on Saturday. He put some great balls in, he hit the post and set up the chance for Christian (Benteke) when he hit the bar.
"He was a plus point, the one really bright spot for us."
Lambert has doubts over defenders Ryan Bertrand (ribs) and Ron Vlaar (hamstring).