There is no benefit to stopping the league.
The crisis around the coronaviruses will be discussed by the clubs on Monday.
With nine games postponed over the past week, clubs want the chance to discuss the options.
Frank called for all matches to be called off until 26 December.
Some feel the break should be longer, but others, such as the head of the Reds, don't think it should happen.
How are the new Covid cases affecting the sporting events?
Mikel Arteta said clubs need clarity.
Arteta said that the regulators will make the decision on whether the game is played or not, but that we need to understand the reasons behind it.
We are going to have to find a way. We knew when we started the season that there was a possibility of Covid problems and we had a plan A, B and C.
We need a flexible calendar because this world is not the world we used to live in, and we know the date of the World Cup coming. We need clarity.
The press conference that Manchester City's manager had was canceled to focus on the trip to the United Kingdom.
The City boss was due to speak to the media on Friday to preview the game.
The coronaviruses test that Guardiola returned was not conclusive and he is waiting for the results of a follow-up test.
On Monday, he said that some staff members at City had tested positive but they were able to play the game on Tuesday.
The Women's Super League game between Manchester City and Reading has been postponed.
The league said it will continue to play as long as it is safe.
The meeting won't solely be about whether there is a break or not. There are issues with re-arranging the games that have been postponed.
Next month's African Cup of Nations and the January World Cup qualifiers that cover every continent other than Europe have raised concerns.
The issues surrounding the crowded match calendar were highlighted by the release of the Nations League fixtures.
England play their first game in Hungary on 4 June, a week after the final of the European Championship on 28 May, and a week after the last round of the English league.
There are only two clear midweeks until the end of the season, with European matches, the FA Cup fifth round and replays for earlier rounds.
The midweeks were supposed to be used for games that had to be moved because teams had reached the final stages of the domestic cup competition.
