The owners of Universal Yoga in Camerton applied for retrospective planning permission but were refused.
Retrospective planning permission was refused and the families were told to leave the site in February 2012.
It was allowed through retrospective planning permission and brings no particular economic benefit to the local community.
The High Court dismissed two retrospective planning applications last month and ordered the families to leave by Sunday.
Over the past five years, the owners have applied for retrospective planning permission three times but were refused.
The council says it will not decide what action to take until councillors have considered Mr Fidler's retrospective planning application.
Planners at Shropshire Council are recommending retrospective planning permission should be given.
The inquiry will look into an appeal by the travellers lodged against the council after its decision to refuse them retrospective planning permission.
In July 2010, Solihull Borough Council refused to give the Gypsies retrospective planning permission, a decision upheld by Secretary of State Eric Pickles in October 2011.
Powys council was criticised for moving the family there without planning consent, while the national park authority was criticised for taking eight months to deal with a retrospective planning application for the site.
In July 2010, Solihull Borough Council refused him retrospective planning permission for those pitches, a decision which was upheld by Eric Pickles, the Secretary of State for Communities and Local Government, in October 2011.
Many residents and others who work in the village did not want to go on record about the Gypsy site, for which retrospective planning applications to develop the area were dismissed by the High Court.
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Follow-up studies now in the planning stage are expected to use prospective as well as retrospective data.
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