Arsenal has received bids for Captain Robin van Persie from Manchester City, Manchester United and Juventus.
The 28-year-old Netherlands striker will not be part of the Gunners squad that travels to Asia on Saturday for a three-match pre-season tour.
It is understood City, United and Juventus have tabled offers in the region of £15m, but Arsenal are keen to hold out for a fee of £25-30m.
Van Persie's contract ends in 2013 and he says he will not sign a new deal.
The Dutchman joined Arsenal from Feyenoord for £2.75m in 2004 and scored 41 goals in 53 games for club and country last season.
He was also named both the Professional Footballers' Association and Football Writers' player of the year last season.
However, he suffered a disappointing Euro 2012 campaign, scoring only once as the Netherlands were eliminated at the group stage.
After meeting with manager Arsene Wenger and chief executive Ivan Gazidis in mid-May, Van Persie revealed he had disagreed with both men on the way the Premier League club should move forward.
"I've thought long and hard about it, but I have decided not to extend my contract," he wrote on his website.
"This was a meeting about the club's future strategy and their policy. Financial terms or a contract have not been discussed, since that is not my priority at all.
"I personally have had a great season but my goal has been to win trophies with the team and to bring the club back to its glory days.
"Out of my huge respect for Mr Wenger, the players and the fans I don't want to go into any details, but unfortunately in this meeting it has again become clear to me that we in many aspects disagree on the way Arsenal FC should move forward."
