He had fell down the pecking order at Stoke with Steve Simonsen being the first choice 'keeper and ex-chelsea Ed de Goey being a close second.
City Director of Football John Rudge said: "This is a great opportunity for Ben to go out on loan and hopefully get some first-team experience under his belt. Ben is a very competent keeper who we rate very highly and I'm sure he'll do well at Wrexham."