The Red Devils have agreed terms with the Gunners for the Dutch striker who will head up to Manchester on Thursday to undergo a medical and finalise personal terms.
"The deal is subject to a medical and the agreement of personal terms. A further announcement will be made in due course."
Arsenal's official website added: "Van Persie will travel to Manchester on Thursday in order to agree personal terms and complete a medical ahead of the proposed move."
van Persie has been linked with United for weeks now and it appears as though his transfer, which will exceed £20million, will be completed this week.