The supporters' organisation issued a statement after United confirmed that Carrick had been dismissed, describing the decision as another depressing moment for the club while thanking the former midfielder for his service.
Carrick returned to Old Trafford in January and guided United to third place in the Premier League last season, winning 12 of his remaining 17 matches. His work during that period had earned him considerable support among supporters, and the trust said his standing with the fanbase remained intact despite the team's poor start to the current campaign.
"Michael Carrick’s departure marks another depressing moment for Manchester United. We thank him for his service and for restoring hope during the second half of last season. His standing among supporters remains undiminished," the statement read.
However, the organisation made clear that it does not believe the manager was primarily responsible for the problems that have left United struggling near the bottom of the Premier League.
"The reason Manchester United fans have continued to support Michael Carrick in recent weeks is that they know that responsibility for United’s problems do not primarily rest with him or indeed his predecessors as manager.
"They lie with the ownership."
The statement represents a direct criticism of the club's leadership, with the trust arguing that repeated changes in the dugout have failed to address deeper structural problems.
It also singled out the Glazer family's ownership, particularly the debt-funded takeover that has remained a source of frustration among supporters. The trust believes the financial burden associated with that takeover continues to affect the club, while the arrival of INEOS was accompanied by promises of a more successful sporting operation.
"The Glazers’ debt-funded takeover continues to burden the club. When INEOS came in they promised sporting excellence, but yet with repeated changes in football leadership we have seen anything but," the statement continued.
The criticism comes as United face another period of uncertainty following Carrick's dismissal. The club is now searching for a permanent successor, having decided that the results under the former midfielder were no longer acceptable.
United's decision followed a poor start to the season that left them 18th in the table. The team had struggled for consistency, and the 4-4 draw against Aston Villa did little to ease concerns about their position.
For the trust, however, changing the head coach is not enough to resolve the club's wider difficulties. Its statement called on those responsible for the running of Manchester United to explain the direction of the club and accept responsibility for the situation.
"It is time for the owners to explain themselves and show some accountability."
The organisation's intervention ensures that the debate surrounding Carrick's departure will extend beyond the team's results and the identity of his replacement, placing renewed pressure on the people overseeing the club.