Ibrahimovic is a free agent at the end of the season and has announced he is likely to leave Paris St-Germain.
The 34-year-old scored four goals on Sunday as PSG beat Troyes 9-0 to win a fourth successive French league title.
"Look, at the moment, no," Wenger said when asked if he was interested in a deal for Ibrahimovic.
The Swede has also played for Barcelona, Juventus, Inter Milan, AC Milan, Ajax and Malmo in his 17-year career, winning league titles in four countries.
This season he has scored 31 goals as PSG clinched the Ligue 1 trophy with eight games to spare.
Arsenal, meanwhile, are 11 points behind Premier League leaders Leicester and face Everton on Saturday at 12:45 GMT.
Wenger said:  "We have other worries at the moment. It's short-term. We are not on Zlatan's case. Even at 34, he's had a great season at PSG."
He added: "I'm just surprised by the name you've thrown at me."
In 2000, Ibrahimovic turned down a move to Arsenal, refusing to take a trial for Wenger.
"I couldn't believe it. I was like 'No way. Zlatan doesn't do auditions'," said the striker.

The live broadcast of John Adams's The Death of Klinghoffer was scheduled for 15 November.
The opera set to be performed this autumn portrays the hijacking of the Achille Lauro cruise ship by the Palestine Liberation Front in 1985.
Jewish American passenger Leon Klinghoffer was killed in the attack
"I'm convinced that the opera is not anti-Semitic," the Met's General Manager, Peter Gelb, wrote in a statement.
"But I've also become convinced that there is genuine concern in the international Jewish community that the live transmission of The Death of Klinghoffer would be inappropriate at this time of rising anti-Semitism, particularly in Europe."
The decision was taken after discussions between Mr Gelb and the Anti-Defamation League, which represented Klinghoffer's children.
Mr Adams criticised the decision, telling Associated Press news agency the opera "in no form condones or promotes violence, terrorism or anti-Semitism".
The Achille Lauro had been sailing the Mediterranean on 7 October 1985 when the gang - members of a splinter group of Yasser Arafat's Palestinian Liberation Organisation - attacked.
During a two-day standoff, the group demanded the release of a number of Palestinian prisoners and killed Klinghoffer, 69, before throwing him overboard.
The Palestinian militants initially escaped after allowing the Achille Lauro to dock in Egypt.
Later, the US military intercepted an Egyptian plane which the hijackers were using to flee and forced it to land in Sicily, where the four hijackers were arrested.
Youssef Magied al-Molqui, the leader of the group which overtook the Achille Lauro, was released from an Italian prison in 2009 after serving nearly 24 years.
Arsenal boss Arsene Wenger says he is "surprised" the club has been linked with a summer move to sign Sweden striker Zlatan Ibrahimovic.
[NEXT_CONCEPT]
New York's Metropolitan Opera has cancelled plans for a global HD broadcast of a performance amid fears it could spark anti-Semitic sentiment.