The Netherlands international has lost his starting berth at the Premier League side and could be on his way to the Bundesliga in the summer transfer window
The Netherlands international has been struggling to secure regular first-team action this term, and could therefore be tempted to move on in the summer transfer window.
"A player like Kuyt, who is still in good shape, can add something to any team. He is a real team-player with an excellent attitude," Arnesen was quoted as saying by Bild.
Nevertheless, the attacker's agent Rob Jansen has made it clear that there have not been any talks about a summer move just yet.
"There have not been any talks with Arnesen or with someone else from HSV. Would Kuyt be interested in a move to the Bundesliga? I can't say anything about that. A lot of clubs have made enquiries, but there's nothing concrete for now."
The 31-year-old Kuyt, who has also been linked with a move back to Feyenoord, has a contract until 2013 with Liverpool.