The 20-year-old originally came through the ranks at Northampton Town before joining the Canaries academy in the summer of 2021, signing a professional contract.
Berry has recently had loans at St Albans City and Havant and Waterlooville.
He joins the Silkmen having made a strong impression with the Saints, leading them to the National League South play-off final last season.
Berry made his Silkmen debut in Saturday's 1-0 victory at Marske United as their new dawn under the management of the recently-appointed Alex Bruce starting with a win on the road.
He replaced regular shot-stopper Conor O'Keefe, who was named on the bench for their trip to Mount Pleasant.
Photo credit: Norwich City
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