The Denmark frontman already has two caps for his country, despite still being just 19-years-old, and his form for Copenhagen has seen him become a regular for the Danish giants, and piqued the interest of Arsenal manager Arsene Wenger.
The teenage forward has 10 goals in 19 appearances for his club, and his stock is on the rise in Europe, with AC Milan, as well as Arsenal, thought to be interested.
The Serie 'A' giants have dispatched scouts to track Cornelius's progress on three different occasions in the past few months, and by all accounts they've been impressed by what they've seen.
Milan are now reportedly considering making a £3m offer when the January transfer window opens, but Arsenal's Scandinavian scout Bobby Bennett is believed to have urged the Gunners to join the race for Cornelius.
Bennett was the man who discovered Nicklas Bendtner in 2004, and helped to negotiate a deal to bring the Dane to Arsenal, and the Gunners scout reportedly rates Cornelius even higher than he did Bendtner.
The 6ft 4in forward has a soft touch and an eye for goal, although Cornelius is thought to be more of a target man than Bendtner ever was.
The Metro reports Copenhagen are desperate to keep hold of their teenage star, but could be willing to negotiate a deal which allows them to keep Cornelius on loan until the end of the season.