The Turin giants are looking to reinforce their attacking line with veteran forward Alessandro Del Piero set to leave the club next month and on-loan striker Marco Borriello expected to return to Roma in July.
"Van Persie is a great player," Juventus general director Giuseppe Marotta said to www.calciomercato.com. "He is a complete player and would be useful to any team. But he still has one year left in his contract with Arsenal. We will try to put the icing on the cake this summer but the important thing is that the mix is good."
Van Persie leads the Barclays Premier League goalscoring chart with 30 so far this season.
Juve have also been closely monitoring Liverpool striker Luis Suarez as well as Real Madrid forward Gonzalo Higuain.
"Van Persie, Suarez or Higuain? They are three important players," Marotta said.
"In fantasy football we could have the three of them playing in the same line-up but in reality, it is different.
"If one of them arrives (here) is not because he will be the less talented as other things have to be taken into account, such as the financial aspect.
"Moreover, if (Real Madrid coach Jose) Mourinho does not want to sell Higuain it will be impossible for us to get him and we also have to take that into consideration."