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The Gunners are looking for defensive reinforcements in the summer after failing to land Jonny Evans in January.
The 23-year-old has fallen down the pecking order in Turin, making just 12 Serie A appearances and two in the Champions League this season.
And Arsene Wenger could be poised to swoop.
Davide Torchia, Rugani’s agent, said: “Rugani it’s an international player. He could play in any league. So also in U.K.
“He’s young. Elegant in the way of playing. I know that various top european top club follow him.
“Some are English. Arsenal? In the past, some seasons ago, we spoke with them.
“At the moment there are no official contact with them.”
He added: “He is happy at Juventus. He does not want to leave Torino. And he hopes to play continuously.