"Guus is happy with Russia. Definitely," Cees van Nieuwenhuizen told the Daily Telegraph.
"I had a call because I have been working with (City chief executive) Garry (Cook) for 12 years since we worked together at Nike. But I have received calls from all over the world about Guus. There has also been an approach from Juventus."
Cook had asked if it would be worthwhile setting up a meeting with Hiddink to discuss the future, added Van Nieuwenhuizen.
"I said I didn't think it was worth having a meeting ... he is contracted until next summer but there is an offer for him to stay for two more years and I think he will definitely stay."
The agent said he did not discuss what position City might have offered Hiddink, whose Russia team failed to qualify for next year's World Cup finals in South Africa after being eliminated by Slovenia in a playoff.
City manager Mark Hughes is under increasing pressure, with some commentators saying the next few matches could decide his future at the club.
The Welshman spent more than 100 million pounds on transfers in the summer but the Abu Dhabi-owned club are only eighth in the Premier League with just one win from their last 10 games. City lost 3-0 to Tottenham Hotspur on Wednesday.
Hiddink said in September he would like to coach in the Premier League again after a temporary spell last season in which he took Chelsea to victory in the FA Cup.
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