The Premier League side confirmed its position in a statement published on social media and signed by chairman Nassef Sawiris. The club accused Carragher of making unacceptable remarks about Villa and its fanbase, insisting it would not allow anyone to undermine its growing ambitions in English and European football.
The controversy follows comments Carragher made earlier this week on the Stick to Football podcast, where he suggested that Villa manager Unai Emery could be tempted by an opportunity to become Manchester United's next head coach.
Manchester United are currently experiencing a difficult season, with interim manager Michael Carrick's position reportedly uncertain following a disappointing start to the campaign.
Discussing the possibility of Emery moving to Old Trafford, Carragher argued that top managers would naturally be attracted to historically bigger clubs. He referenced the movement of players between elite teams, using Cristiano Ronaldo's transfer from Manchester United to Real Madrid as an example.
The former England international then directed a blunt message at Villa supporters, telling them to stop complaining about the suggestion that Emery could leave, adding that the Birmingham club would never reach Manchester United's stature.
His remarks attracted criticism from Villa fans, who felt the pundit's comments were dismissive of their club's progress and ambitions.
Carragher later responded to the backlash on social media, explaining that his instruction for Villa supporters to remain quiet was intended as a joke following the criticism he had received for suggesting Emery might consider joining United.
The 48-year-old also defended his position, pointing out that he had consistently praised Emery and Aston Villa's achievements over the years.
Speaking again on the Overlap Daily podcast, Carragher described Emery as the best manager in the Premier League and argued that Manchester United would naturally explore the possibility of appointing someone of his calibre.
He clarified that he was not claiming Emery would definitely leave Villa, but believed United would be justified in making an approach if they considered him their preferred candidate.
Carragher added that he was simply suggesting how a manager might react when told that a particular club represents the highest level they could reach.
He maintained that his comments were made jokingly and that the situation had escalated beyond what he originally intended.
