Arnesen, who held a similar position at Spurs and Chelsea, has admitted he would love to the see the Holland playmaker return to Germany four years after leaving the club for Real Madrid.
Van der Vaart spent a fruitful three-year period between 2005 and 2008 at the Imtech Arena before moving on to the Spanish champions and then White Hart Lane.
It’s been said that new boss Andre Villas-Boas is willing to sell the 29-year-old as he reshapes his squad ahead of the new Premier League season and Arnesen is positive he can be lured back to the Bundesliga.
However with no word from Van der Vaart that he is looking to leave the North London club Arnesen says he’ll have to wait until the player professes a desire to leave before making a move.
“I can only say that he is a great player and one that knows Hamburg very well,” Arnesen told Welt.
“I don’t want to talk about it too much because Van der Vaart has a contract at Tottenham Hotspur until 2015.
“If I get a signal from his end that there might be something, things will be different.
“At the moment it is not practical. He is on holiday after the European Championship. In the next few weeks we will see what happens.”
Villas-Boas was appointed as Harry Redknapp’s successor earlier this week and immediately sanctioned the deal to sign Gylfi Sigurdsson from Hoffenheim under the noses of Liverpool.
The Portuguese tactician is also looking to complete the transfer for Ajax defender Jan Vertonghen after it was held up by a clause in his contract that entitles him to a percentage of the £9 million transfer fee.