Chelsea are among the teams credited with an interest in the Germany Under-17 international, who has made a splash in his country’s top flight this season, having netted twice in only three appearances.
The teenager was handed a starting berth for the first time against Stuttgart on Saturday and was on target in a 3-1 victory – and the club are adamant that he will not be allowed to leave.
“His agent knows we’re ready to talk 24 hours a day,” sporting director Jens Todt told Bild.
Arp is under contract until 2019 having signed his first professional deal for the club a matter of months ago.
He was handed his debut against Werder Bremen in September before coming on as a substitute in Hamburg’s previous match against Hertha, during which he got his first senior goal.