Boyce surprised that there was not more support for postponement of election vote but highlights popularity of Sepp Blatter, and wants FA to "build bridges" with Fifa
The FA attempted to postpone the Fifa presidential elections after Sepp Blatter emerged as the only candidate, but they were unsuccessful in their efforts and Boyce feels it may be time to introduce some new blood in an attempt to re-build their reputation.
"England in my opinion needs to build bridges both within Uefa and Fifa. I can assure you that I will do all in my power - if asked - to help the English FA,” Boyce told BBC Radio 5Live.
"[The FA] need to get good people there, they need to get people who are highly respected throughout Europe and the world and there are a lot of very good people in England who could probably do those jobs.
"They need to build back confidence again. England as a football nation are undoubtedly one of the best nations in the world, there's no doubt about that, but sometimes some people feel that there is a little bit of arrogance there - I'm just being honest.”
The former Irish Football Association president also revealed that he was surprised at the lack of support for the FA in their attempt to postpone the election.
"Apparently there was a meeting before [the postponement vote] of the European countries. England have the right to do what they did today. I'm not criticising them for doing that, they felt they wanted to do something, they stood up and they did it.
"But the amazing thing appeared to be that David Bernstein was the only person on that stage this morning who tried to get the vote stopped. I'd have thought some other people would have gone up if they felt the same way and backed the FA, but nobody did."
Fifa has come under heavy criticism recently with allegations of bribery, vote fixing and corruption blighting world football’s governing body, but Boyce did lend some support to the organisation.
"Fifa has come in for a lot of criticism, some of it is probably justified," he said.
"But if you look it spent 794million dollars helping developing countries, looking after under-privileged people and they put a lot of money back into football.
"At Congress today there were 186 votes for Sepp Blatter to still be the president of Fifa. Fifa has done an awful lot of good for the world game, but there are certain individuals who obviously have given Fifa a bad name."