West Ham have been credited with an interest in former Leeds star Snodgrass after he impressed at Carrow Road last season.
Hughton has ruled out selling Snodgrass and insists the Scotland international remains central to his plans.
"I think it's testament to how well the players have done but we are in a good place at the moment," Hughton told the Pink Un. "We want to ensure we keep hold of our best players and we are a club at the moment that doesn't need to sell.
"We are looking to strengthen and not let players go. He (Snodgrass) is definitely a player who is very much in our plans."
Meanwhile, Hughton has refused to rule out a move for Juventus striker Fabio Quagliarella.
Reports in Italy have claimed Norwich have made a bid for Quagliarella as Hughton looks to add the Italian to his attacking ranks following the arrivals of Gary Hooper and Ricky van Wolfswinkel.
Hughton is aware of the rumours linking him with Quagliarella, but he is not giving anything away on his pursuit of the 30-year-old.
"I've heard and seen those reports in the press," added Hughton. "But it's exactly the same as our work with Gary (Hooper) - from our side we worked in the correct way, very much behind the scenes and until there was something official to say we didn't say it.
"I think the fact there are some players that are being linked with us in some ways is a good thing because it means we are trying to be pro-active and we are trying to improve. But certainly until there is anything to say we will wait."