Rooney, 26, earns almost £220,000-a-week under his current contract with the Red Devils while Van Persie rejected a three-year deal of £130,000-a-week plus cash-on-signing from the Gunners.
Arsenal manager Arsene Wenger expects to sell the Dutch star for around £25m but neither Manchester rivals City or United or Juventus are willing to pay that amount for a player who turns 29 in October with his contract expiring at the end of the season.
However, United, City and Juventus have had bids turned down after failing to reach Arsenal's valuation. While League champions boss Roberto Mancini has expressed his frustration with City chiefs who want to offload unwanted strikers before making any move for the 28-year-old Van Persie.
Edin Dzeko and Carlos Tevez are possible targets for some of Europe's top clubs while Roque Santa Cruz and Emmanuel Adebayor are not required by the City.
Meanwhile, Wenger has already revamped his squad with two forwards Lukas Podolski and Oliver Giroud. Gunners are also closing in on Spanish international Santi Cazorla for £16m from Malaga.
Flop striker Marouane Chamakh's Arsenal future is uncertain with several clubs in Turkey willing to sign the Moroccan international while Danish striker Niklas Bendtner has been linked with a move to AC Milan and Spartak Moscow after loan spells with Sunderland and Birmingham City.