He also said that he believed England's bid was fatally damaged when FIFA president Sepp Blatter warned executive committee members of the "evils of the media" just before they voted.
Russia won the right to stage the 2018 finals on Thursday while England, who expected at least "seven or eight votes" were knocked out in the first round with just two including one from their own representative.
Anson told a news briefing on Friday that some FIFA members told him they turned off England's bid by the British Broadcasting Corporation's Panorama documentary and the Sunday Times' investigations into corruption at FIFA.
Asked if he would advise England to bid again Anson said: "I would say right now don't bother until you know that the process is going to change to allow bids like ours a chance to win.
"When you have the best technical bid, fantastic inspection visits and the best economic report, and from what people told us the best presentation yesterday - it's quite hard to stomach that seemed to count for absolutely nothing.
"Having only 22 guys voting gives them too much power and influence.
"Running two bids together for 2018 and 2022 was clearly a huge mistake.
"Everyone who had a vote and a bid clearly wanted to trade that vote for something that helped them get over the line in that campaign.
"Australia had a very good bid they got one vote, we had a very good bid and we got two, the United States had an unbelievably strong technical bid and got three.
"Six votes in the first round between those three, there's something not quite right.
"For me this is an issue and FIFA needs to look at the process, because it makes it easy for formidable competitors like Russia and Qatar to gain influence."
Regarding Blatter's intervention, Anson said: "I think that was unhelpful - the last thing those guys needed to hear before they go and tick the box is the evil of the media is not helpful and actually inaccurate.
"There was a final sum-up before they voted and I think it was at the beginning of that. That's not helpful to our cause."
"I still find it hard to understand what happened. I'm not going to beat around the bush - individual members promised to vote for us and didn't clearly.
"That's difficult to stomach when they have given you assurances. They are saying to us that our media killed us but I don't believe that for one minute, but that's what we are being told.
"Russia did a lot of last-minute lobbying and votes appeared to switch at the last minute - we know some switched in the early hours of the mo
