The Canaries moved to 14th place in the Barclays Premier League with a 1-0 victory over Palace, who had Tony Pulis in charge for the first time.
Now they go to Liverpool, who will be smarting after losing 3-1 at Hull on Sunday, with Hughton hoping to continue the momentum built on the back of successive home wins.
"Sometimes you want to get straight back into it after that feeling from what was not only a good result but what was a very good first-half performance," Hughton said.
"It was a much-needed win and we need to take that confidence into these next couple of games."
Something that Hughton is keen to address is his side's form away from Carrow Road, having only picked up points with a win at Stoke back in September.
Norwich have lost their other five away trips and were beaten 5-0 at Anfield last season.
"We want to make amends because apart from a very, very good performance at Stoke we've been disappointing away from home," he said.
"The Liverpool match is a game where arguably they don't come much tougher, but it's another challenge for us and our away form needs to improve and there's no better opportunity than the next opportunity.
"It's always tough at Anfield, but it is also a great place to play. The surface is always very good and you want a team and group of players to enjoy playing there."
Liverpool will be looking to bounce back following their shock loss at Hull but Hughton does not expect any favours from Brendan Rodgers' side.
"I don't think it [defeat at Hull] matters because psychologically you turn it in whichever way you want," Hughton said.
"The fact is they lost, and you can look at just that, or you could say that they lost so they'll want to bounce back, be even more fired up than before and to get a win.
"We have to concentrate on what we want to do, and it's an opportunity for us to build on a good performance and a good win."