Moyes was sacked in April after 10 disastrous months in charge at Old Trafford. With the vast majority of his contract, and the contracts of his coaching team, still to run Manchester United were forced to shell out to end the agreements.
The £5.2m payment was revealed in the club statement, until the heading of 'Exceptional Items'.
A club statement said: "Exceptional items for the year were £5.2m, primarily related to compensation payments on loss of office to the former manager and certain members of the coaching staff. Exceptional items for the prior year were £6.2m."
Other headlines from the accounts reveal that commercial revenues increased by almost a quarter to a record £189.3m, which is the result of new and existing sponsorship agreements and an aggressive branding approach by the 20-time Premier League champions.
Despite last season's poor performance on the pitch, United CEO Ed Woodward has continued to increase United's slice of the pie off it.
Michael Owen on the Danny Welbeck sale
United posted record annual revenue of £433.2m and a £23.9m profit for 2013-14. However, the true cost of the failure to qualify for the Champions League will not be realised until United publish their accounts for this financial year. That will happen this time next year.
With Moyes removed in April, United waited until the summer to replace him permanently, choosing then Dutch national team boss Louis van Gaal to take over.
But van Gaal is yet to win his first competitive match as United manager, having taken just two points from his first three Premier League matches. He has been busy in the transfer market though, bringing in the likes of Radamel Falcao and club record buy Angel Di Maria.