Speculation has been surrounding the 24-year-old since he was spotted at the Emirates Stadium during Arsenal's 3-0 win over AC Milan earlier this month.
Vertonghen's contract expires in June 2013 but Ajax are expected to cash in on his talents this summer while they can still command a fee, with the centre-half reluctant to pen new terms.
The Belgian, who has scored six goals in the Dutch Eredivisie this season, admits he was a guest of compatriot Thomas Vermaelen at the Milan game, but cannot deny his interest in a potential move.
"I have instructed my agent carefully. He knows which clubs I want to join, and Arsenal are one of them," he said.
"Arsenal are a magnificent club and I hear a lot of good things about English football," he added. "If a club of Arsenal's calibre can reach agreement with Ajax, then I will gladly go over.
"I haven't signed anything with them yet. But I went to watch them against Milan, together with my Ajax team-mate Siem de Jong, after Vermaelen invited us."
Vertonghen has repeatedly expressed his desire to play in the Premier League, with Newcastle and Arsenal's bitter rivals Tottenham also rumoured to be monitoring his situation.