Doubt was cast over the future of the 32-year-old, who recently decided to move his family back to his native Carlisle.
Norwich also forked out £8.5million in March to sign Dutch international striker Ricky van Wolfswinkel from Sporting Lisbon.
Wolfswinkel arrives at the club on July 1 and, with Hughton having played a lone striker up front for much of the current season, Holt's place could be under threat.
Hughton said: "All I've seen is some press speculation. What we have in Grant is someone who has signed a contract in the summer.
"He has two years left of his contract. I think he started more games than he did last season so this is somebody who is right in there playing games.
"Anything that is heard or written about is very much speculation. For me it has not been an issue."
Hughton, whose side clinched Barclays Premier League safety at the weekend with a 4-0 win against West Brom, wrap up their season on Sunday with a trip to managerless Manchester City.
The Norwich boss is expecting a tough match despite the departure of former City boss Roberto Mancini following the FA Cup final defeat to Wigan last Saturday.
Hughton said: "The players are quality players. They are guaranteed second place. It's their last home game of the season and they will certainly want to finish on a high. The odds are against us because they don't lose many games at home."
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