Fans will be reassured by the fact that the family will meet them to allay their concerns.
They are one of six groups that made their bids public.
The bidders are waiting to hear if they made the cut.
Fans have criticized the ownership of the Chicago Cubs baseball team by the family, as well as anti-Muslim comments made by the family's matriarch in 2019.
Paul Canoville, Chelsea's first black footballer, said on social media: "So I've seen and heard enough. I'm backing Chelsea Supporters' Trust and saying a big fat anti-racism NO to the Ricketts bid."
Brian Wolff, the head of the Chicago official supporters group for the Blues and a Cubs fan, urged those handling the sale to reject the bid from the Ricketts family because he claimed it had been met with "universal disdain" by fans in the US and worldwide.
He questioned the political loyalties of the family and said other bids would commit to not only building upon the last two decades of investment in players and infrastructure but also the investment in supporters and the values which we hold dear.
Sources close to the family said that Joe Ricketts wouldn't be involved in the bid for her because his children are Democrats.
The Cubs won the World Series in 2016 for the first time in over a century, after the family took over. The Cubs stadium, Wrigley Field, and the surrounding area were redeveloped by the family.
The family wants to speak to the Trust and the Pitch Owners who own the freehold to the stadium, and have already spoken with the Member of Parliament.
The government should discount any bid that is unwilling to issue a golden share to fans because the CST is willing to meet any prospective owners, it said on Monday.
It would mean veto rights to block key decisions such as changing club colors or moving stadium.
The CST said that any new owner must share the inclusive views of the club and its supporters.