Speculation ahead of the summer transfer window claims the 18-year-old is set to become hot property.
Much like his fellow Denmark international and club colleague Christian Eriksen, Fischer is said to be a potential target for leading clubs across Europe.
The likes of Manchester United and Chelsea are believed to be keen on adding the youngster's potential to their ranks, with a bright opening to his club career suggesting he is destined for the top.
Fischer is, however, in no rush to secure a high-profile switch.
He feels he is at the right club for his ongoing development and is paying little attention to the gossip regarding his future.
Fischer told Voetbal International: "I have a lot to learn in Amsterdam.
"I think I'm a wise guy. Only when you're 25 do you show how good you really are.
"I have accomplished nothing here. It would be arrogant if I thought I was done here."