Lambert guided the Canaries to back-to-back promotions before departing for Villa Park, with Hughton replacing the Scot as boss.
"It's normal when a previous manager comes back to a football club, there's generally that little bit more interest," Hughton said.
"What this club remember Paul for very fondly is the great job he did here. Certainly he won't be forgotten for that.
"But a game against Aston Villa has nothing to do with a game against Paul Lambert, it's 11 players against 11 players that will try to compete against each other to get three points on Saturday.
"It just so happens that their manager is a previous club manager here."
Lambert twice won at Carrow Road with Villa last term, in the Capital One Cup and in the Premier League in May.
The latter defeat, inflicted as a result of a Gabriel Agbonlahor double, was Norwich's sole loss in 11 Premier League home games, dating back to last December.
This term, Norwich drew with Everton on the opening day and beat Southampton in their most recent home match.
Hughton added: "All three games (with Villa) were quite tight (last season) and if anything our best performance came at Villa Park. We should have won that day.
"Does the game have a little bit more meaning? It generally does in terms of perception on the outside, but we have a good home record.
"We'll be tested because they are a young, exciting side and they have good offensive options. We need to make sure we do all the right things to win.
"We're on the back of a defeat at Tottenham, Villa have had some defeats but they had an excellent result at Arsenal on the opening day."
Since winning 3-1 at the Emirates Stadium, Villa have lost to Chelsea, Liverpool and Newcastle in the Premier League.
Hughton knows it is up to his Canaries side to continue their home run, which has featured four wins and six draws.
He added: "We have a good record, (but) we're up against a very good team in Aston Villa.
"For us, irrespective of who the opposition are, it's an opportunity to get three points."
Lambert survived at Villa last term despite being under pressure as his side struggled through the season.
In his second term at Carrow Road, Hughton hopes to improve on the 11th-placed finish last term, but recognises the task is challenging.
He added: "I always feel under pressure. You have a responsibility to do as well as you can.
"We've spent more money than this club have ever spent, but also so have the other clubs. Everybody is trying to improve.
"(I'm) not under any more pressure than you already feel, but that pressure always comes from within. If you couldn't thrive on that pressure you wouldn't do what we do."