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.
Fans were protesting against owners the Glazers, who MUST says have “driven the club into debt and decline”.
The trust said frustrations had reached “boiling point” on Sunday, which had led to the demonstration.
The Football Association will speak to United, the Premier League and safety authorities to find out what happened and the reasons for it.
Meanwhile Manchester United could face a points deduction due to the trouble that was caused at Old Trafford.
Under Premier League rules, points can be deducted where a club fails to ensure the safety of players and staff, as well as entry and exit from the ground.
The FA can also impose fines, in a long list of potential punishments, which includes ground closures and suspension from competitions.
And it can demand the club responsible for any postponement compensates the other side for any costs.
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 apologized on behalf of the club for their involvement in the ESL but MUST has said it has no trust in the owners.