According to the Huffington Post, Manchester City, Manchester United, and Juventus are the teams most interested in Van Persie and he will undoubtedly be sold to one of those clubs sooner rather than later.
While Arsenal has already acquired the services of forwards Lukas Podolski and Olivier Giroud, they will need more help to make up for the 37 goals that Van Persie scored last season.
Here is a look at five players who would make ideal replacements for the Dutch superstar at Emirates Stadium.
At just 23 years old, Robert Lewandowski has been a big part of Borussia Dortmund's recent success.
According to Goal.com, Lewandowski is hoping to get a chance to showcase his skills in the Premier League and Arsenal definitely has their eyes on the forward.
The Daily Mail reported that Arsenal had been scouting Lewandowski all of last season and are seriously considering him as a replacement for Robin Van Persie.
A young superstar who has already established himself as a top scorer, Robert Lewandowski is exactly the kind of player coach Arsene Wegner would covet to replace Van Persie.
Just 17 years old, M'Baye Niang has star potential written all over him and he knows it.
In fact, Caen has already rejected a modest offer from Arsenal for Niang, showing just how highly they think of their striker.
A powerful forward who is much more physically gifted than most players his age, Niang would be an excellent prospect for Arsene Wegner to build on.
After scoring two goals for Caen last season and playing for the French U-21 team, Niang is poised for a move to a bigger league.
He certainly sparked Arsenal's interests with a successful trial with the team and he could be the eventual long-term replacement for Robin Van Persie.
A native of the Ivory Coast, Seydou Doumbia has sparked a lot of interest from numerous clubs recently, including Arsenal.
The electric 24-year-old has been on the team's radar for some time now according to the Daily Mail.
Doumbia has picked up right where he left off in the Russian Premier League, scoring a goal in the first game of the season after putting in 31 last season.
Although he has a significant price tag attached to him, Seydou Doumbia's habit for scoring could persuade Arsenal to make a push for his services.
Who better to replace Robin Van Persie than his Dutch counterpart Klaas-Jan Huntelaar?
According to the Daily Mail, Arsenal has been interested in Huntelaar and could be able to get him at a very reasonable price.
It is a potentially risky move, but there are many who believe that Huntelaar is ready to take his talents to the English Premier League.
It appears that Arsene Wegner has his sights set on Stevan Jovetic as the replacement for Robin Van Persie at Arsenal.
Colin Mafham of Express reports that Jovetic tops Wegner's list of possible replacements, although he won't be easy to acquire.
Jovetic possesses an incredible combination of skills and his all-round game is one of the best from the forward position.
While may be a little on the expensive side, the 22-year-old would serve as the ideal replacement for Van Persie and would be a fan favorite at Emirates for years to come.