Greg Dyke, the chairman of the Football Association, has written to every FIFA executive committee member calling for "urgent action" to ensure ethics investigator Michael Garcia's report into World Cup bidding is published in full.

Dyke's action follows Garcia's move to appeal against the decision by Hans-Joachim Eckert, the FIFA ethics committee judge, to clear Russia and Qatar to host the 2018 and 2022 tournaments, having found no serious breaches of bidding rules by either nation. Eckert's findings suggested there was no reason to rerun the bidding and criticised England 2018 for its relationship with disgraced former FIFA executive member Jack Warner.

Eckert has refused to published the full report and Dyke has stated that public confidence in FIFA has hit a new low while there is "compelling evidence" of wrongdoing.

The decision to send letters to every executive committee member comes after his predecessor as FA chairman, David Bernstein, urged European nations to boycott the 2018 World Cup unless FIFA undergoes more reforms.

The letters read: "As you probably know the reputation of FIFA was already low in England and much of Europe before the events of last week. The failure to publish Mr Garcia's report, and his statement that the summary report which was published contained 'numerous materially incomplete and erroneous representations', has resulted in a further decline in public confidence of FIFA. We cannot go on like this. Complete transparency is required if the actions of those who bid, including England 2018, are to be judged fairly."

In his letters, Dyke also demands that media reports about FIFA and the 2022 World Cup in Qatar are not dismissed in the same way that Sepp Blatter, the FIFA president, dismissed them in June. Dyke wrote: "I know some of you believe that FIFA's reputation in England is the result of an obsession amongst the English media with FIFA and I know Mr Blatter sees their reports as an unfair attack on the organisation he leads.

"However, in England we see it differently. The reports . . . do provide compelling evidence of wrongdoing. They cannot be simply dismissed as 'racist' or 'an attack on FIFA' as Mr Blatter described them in Brazil.

"Urgent action is needed if confidence in FIFA is to be rebuilt in England. The FA believe this action should start with the full publication of Mr Garcia's report."

Bernstein, meanwhile, has resigned from his role on FIFA's anti-discrimination task force and called for a European boycott of the World Cup. That would be unfeasible for UEFA given that one of their members, Russia, although the European body is understood to be deeply unhappy about events at FIFA.

"There are 54 countries within UEFA," said Bernstein. "There's Germany, Spain, Italy, France and Holland - all powerful. You can't hold a serious World Cup without them. They have the power if they have the will. The choosing of Qatar was clearly ludicrous. It was like an Alice in Wonderland sort of decision."