But a boycott is considered highly unlikely as it would put the FA on a collision course with global football governing body FIFA, whose regulations insist member national authorities must run the sport in their respective countries without "outside interference" from the government or any other parties.
The sample was randomly chosen from users who have listed themselves as England fans and the question came via a push notification to their phone or device.
It was announced that the Manchester United boss would be appearing on the channel last week, a day after an ex-Russian spy and his daughter were poisoned by a nerve agent in Salisbury.
Russian Federation has denied all involvement in the incident, which has led to heightened political tensions, with both victims still critically ill in hospital.
There may also be retaliation against British journalists if broadcast regulator Ofcom decides to revoke the United Kingdom licence of Russia Today, the Kremlin-funded channel accused of pumping out propaganda and fake news.
British Prime Minister Theresa May said on Monday that it was "highly likely" that Russian Federation was behind the attack and promised "extensive measures" against the country if an explanation was not provided.
Moscow says boycotting the tournament, which kicks off on 14 June, would damage ties between Russian Federation and Britain and deal "a blow to the world of sport".
He told Press Association Sport: "It's not just MPs".
"FIFA is overall in charge of the global media accreditation process for the 2018 FIFA World Cup", football's world governing body said.
With Gareth Southgate due to name his squad later today for this month's friendlies against Holland and Italy, the FA finally issued a public statement on Wednesday on the escalating crisis against a backdrop of calls in some quarters for the England team to boycott the World Cup.
"Serious questions are already being asked about participation in the Russian-hosted World Cup", he said.