Dzoni's father, Vilson, has revealed contact with Gunners coach Boro Primorac, reports the 'Young Guns' website.
Dzoni, 15, is the captain of Croatia's U17 team.
Dad, Vilson, said: "I was very surprised when the national team manager Ivan Gudelj told me that Boro Primorac has called him to talk about my son, and how Arsenal wants to open talks with Hajduk to sign Ivan. Sure, we are very flattered by interest of such a huge club, but we would like him to stay here at Hajduk and make a name for himself.
"If Hajduk finds it's own interest in selling Ivan to Arsenal, then we will consider it."