The 20-year-old playmaker is being linked with the European heavyweights this summer, with his potential noted in England and Italy.
Arsenal and Juve have turned their attention to Arnold in the hope of luring him away from Germany before his stock rises even further.
The youngster is, however, in no rush to take on a new challenge.
Instead, he hopes to build on his efforts from the last two seasons, which have seen him net 10 goals in 36 Bundesliga outings.
Arnold is also tied to a contract that is due to run until 2017, so sees no reason why he should be pushing for a high-profile switch at this stage.
He told kicker-Sportmagazin: "Of course the likes of Juventus and Arsenal are clubs you dream about as a child.
"But I am on just 36 Bundesliga appearances. If I was on 150, then it might be different.
"I am a player of Wolfsburg and I am happy to be a part of this team."