Wokingham Borough Council has received three complaints from the public, a Freedom of Information request has revealed.
The centre centre, near Wargrave, is accused of extending green belt land without permission and faces legal action by the council.
More than 200 letters supporting the business have been sent to the council since the enforcement action began 11,000 have signed a petition calling on the council to stop the action.
In May, the council went to the High Court in London to seek an order requiring Hare Hatch to comply but the hearing was adjourned.
A judicial review into the council’s refusal to grant planning permission for a petting farm and play area is due and an appeal against the council’s decision not to grant a certificate of lawful use for the site will be held in September.
The council said it has a duty to uphold its policies and to enforce against unlawful development across the borough.