Bony scored 25 goals for the Swans in his first season following his £12million switch from Vitesse Arnhem last summer.
This has led to reported interest from clubs such as Arsenal, Chelsea, Everton, Liverpool, Newcastle and West Ham, as well as German giants Borussia Dortmund.
However, Monk insists there has been no contact concerning the 25-year-old, who is set to feature for the Ivory Coast in the World Cup.
The Swansea boss told walesonline: “There have been lots of stories, but we've had absolutely zero contact from anyone about Wilf and the fact is that as a club, we don't care anyway.
"We don't want to lose Wilf. We want him to stay with us and for him to be part of our future and the fact is that he is under contract. He is our player so it will be down to us to decide whether he stays or not.
“There is always going to be speculation about someone who scored as many goals as Wilf did last season. It's a part of football that when a player does well, he will be linked with other clubs.
"But Wilf is our player, so all the speculation doesn't matter."