Appearing before MPs on the culture, media and sport select committee, alongside Channel 4 chairman Lord Burns and former FA chief executive Graham Kelly, Triesman also said England's bid for the 2018 World Cup had "started on what turns out to be a completely false prospectus".
"I think there will be a time when the contact that I and others had with members of the executive committee should be described in detail because some of the processes I don't think stand up to proper scrutiny," he said.
"When we set off on the bid there was a huge amount of encouragement from Fifa.
"(That was) because we could do it, create tremendous returns, organise events of those kind and handle security.
"Had they said at the time that the aim was to break into new territories, then I would have advised the FA board not to start in the first place."
Triesman also suggested Premier League chairman Sir Dave Richards used aggressive tactics in negotiations with the FA.
"My experience is that he [Richards] would put his point politely in a board meeting," Triesman told the select committee.
"But discussions outside, across football generally but certainly with some people, are extremely aggressive discussions, really aggressive discussions.
"Points are made in a very colourful way - I wouldn't use that language."
This page is best viewed in an up-to-date web browser with style sheets (CSS) enabled. While you will be able to view the content of this page in your current browser, you will not be able to get the full visual experience. Please consider upgrading your browser software or enabling style sheets (CSS) if you are able to do so.