The 33-year-old has been without a club since parting company with Birmingham City at the end of last season but is also considering offers from Turkey and Switzerland
The Gunners could be in the market for a new frontman after Olivier Giroud picked up an injury that is expected to keep the France international out of action for up to four months.
Zigic's representative, Milan Calasan, has now claimed that Arsenal boss Arsene Wenger wants his client as a replacement - but added that Zigic could yet shun Arsenal and move to Turkey or Switzerland instead.
When asked about Arsenal's reported interest in the towering striker, the agent told SPORT: “It is true. Wenger called me on Tuesday afternoon and told me that he wants to bring Zigic to Arsenal.
“It is clear that you cannot reject an offer like that. But Zigic is the one who must decide. He must say what he wants.
“But Wenger was clear, he is offering a contract until the end of the season with the option for another 12 months.
“I know that Arsenal are in a hurry, but Nikola also has offers from Turkey and Switzerland.”