The English FA were in talks with European football's governing body UEFA already, he said, but added the choice of venue for the final was a decision for UEFA.
Manchester United, who said they would switch off all their official Facebook, Twitter and Instagram accounts, added that they had conducted their own research into online abuse.
Rome was one of four of the 12 host cities threatened with having its matches removed because it could not give assurances that spectators would be allowed into grounds given the ongoing Covid-19 situation.
Ahead of a wider relaxation of coronavirus restrictions in England that will not take effect until May, a series of pilot events are taking place over the coming weeks at sports and entertainment venues to assess procedures for testing on spectators and visitors.
Review finds Football Association guilty of 'institutional failings' in implementation of child safeguarding measures
The review, published on Wednesday, said high-profile convictions — including one for serial abuser Barry Bennell in the United States in 1995 — should have served as the catalyst for change, but it took another five years for the FA to put adequate processes in place.
Football authorities in Britain have sent an open letter to social media companies calling on them to do more to stamp out abuse following a spate of recent incidents.
A number of players including Manchester United trio Anthony Martial, Marcus Rashford and Axel Tuanzebe, as well as Chelsea full-back Reece James, have been targeted on social media in recent weeks.
Premier League: Instagram announces new security measures following string of racist attacks on footballers
A number of high-profile players including Manchester United trio Anthony Martial, Marcus Rashford and Axel Tuanzebe, as well as Chelsea full-back Reece James, have been targeted on social media in recent weeks.
The plan outlines a series of commitments aimed at creating greater access to opportunities and career progression for black, Asian and other minority ethnic groups in football, and actions to eradicate racial prejudice.
Marcus Rashford tweeted: "Yes I'm a black man and I live every day proud that I am. No one, or no one comment, is going to make me feel any different."
Premier League to trial concussion substitutes from February as concerns rise over head injuries in football
Premier League and FA chiefs have agreed that teams will be able to make two permanent concussion substitutes even if they have made all their permitted changes.
Southgate, who had a long playing career, has volunteered to be part of the HEADING study at the London School of Hygiene and Tropical Medicine, which is backed by the Football Association.
Manchester City to become custodians of historic Football Association Challenge Cup trophy after owner's purchase
The trophy, a forerunner of the FA Cup in use today, was won by the club in 1904, when they beat Bolton Wanderers 1-0 in the final.
Cavani hadn't been in England long in October when he posted a public message to a friend on Instagram using a Spanish term for Black people which he said was intended as an affectionate greeting.
Barton guided Fleetwood to the League One play-offs last season, but his team lost to Wycombe in the semi-finals and failed to mount a strong promotion push this term.
Premier League: Manchester United's Edinson Cavani handed three-match ban for racial term in social media post
Cavani posted a social media message on Instagram shortly after the match, replying to a message of congratulations using the Spanish term "negrito" (small black person).
Premier League, English FA, EFL agree points-based system for signing players from Europe after Brexit
Players from EU countries who want to play in the Premier League or EFL will be required to gain a governing body endorsement.
The game looked set to be held in another country, most likely Germany, as the Icelandic team are not currently allowed into the country due to coronavirus travel restrictions.
Cole, an integral part of the United side that won the treble in 1999, says the ball is firmly in the FA's court as to whether they show they are serious about diversity at the top of the game.
Clarke was earlier forced to apologise after he used the word "coloured" among other controversial comments when talking to the House of Commons Digital, Culture, Media, Sport Committee about diversity issues.