The 25-year-old joined West Ham from Championship team Ipswich Town for £3.75m last summer. Cresswell’s debut campaign in the Premier League has been a massive success so far with many tipping him as an early contender for Hammer of the year.
“Arsenal are ready to make a summer swoop for Aaron Cresswell. The Gunners boss is eyeing up competition for Kieran Gibbs as Nacho Monreal could be heading back to Spain after two years at the Emirates Stadium,” The Sun reported
In recent weeks Cresswell has also been linked to a bid from Manchester City, however Allardyce ruled out a new deal on the basis of a few rumours.