The Manchester United Supporters’ Trust has urged co-chairman Joel Glazer to engage with fans to avoid a repeat of the protest at Old Trafford on Sunday.
United’s Premier League match against Liverpool was called off after about 200 fans broke into the ground.
The Football Association is investigating the incident and said it “understood” fan “frustrations”.
Fans were protesting against owners the Glazers, who MUST says have “driven the club into debt and decline”.
An investigation by Greater Manchester Police is under way into the violent disorder around the protests and a 28-year-old man has been arrested.
Assistant chief constable Nick Bailey said the behaviour “shown at this protest was absolutely atrocious”.
Earlier, MUST said frustrations had reached “boiling point” on Sunday, which had led to the demonstration.
“Not one member of the Glazer family has ever had so much as a conversation with us,” they wrote in an open letter.
Fans have been angered by United’s decision, alongside five fellow Premier League clubs, to join the European Super League (ESL) last month, before subsequently all pulling out.
Joel Glazer “apologised unreservedly” on behalf of the club for their involvement in the ESL but MUST has said it has no trust in the owners.
It is the first time a Premier League match has been postponed because of fan protests.
Police said two officers had been injured during the protests outside the ground.
In a statement, the FA said it “cannot condone the violent and criminal behaviour that took place before the scheduled Manchester United v Liverpool match”.
Earlier on Monday, MUST said it “supported the right of fans to protest lawfully”.
“Although we did not personally witness any such acts, of course we do not condone any acts of violence,” the supporters’ group said.
“None of us want this to continue.”
Some United fans also gathered outside the Lowry Hotel where the players were
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