The Catholic Church has won a legal battle with the ACT Heritage Council over one of its churches.

St Patricks Church in Braddon was placed onto the ACT Heritage Register in 2012 after the Heritage Council ruled it was an important historical building for Canberra.

But that dashed plans by the Catholic Church who wanted to demolish the 76-year-old building because it considered it an eyesore.

This is the second time the Catholic Church has appealed the listing in the ACT Civil and Administrative Tribunal (ACAT).

On Friday the Archdiocese of Canberra and Goulburn won its appeal, allowing St Patricks to be demolished and the land sold as part of the ACT Government's multi million dollar redevelopment of the adjacent Allawah, Bega and Currong (ABC) public housing flats complex.

But during the hearing the Catholic Church revealed that at this stage it has no plans to sell or demolish the building.

ACAT found the evidence did not satisfy any of the requirements for heritage listing.

The tribunal was also highly critical of the Heritage Council, finding their work contained factual errors and did not measure up to the expectations of an expert body.

ACT Heritage Council chair Duncan Marshall says he is yet to read the full detail of the decision, but says it is a disappointing outcome.

"The Heritage Council, like any human endeavour, is not perfect," he said.

"The Heritage Council works very hard and applies the broad range of high level expertise available to it to reach its decisions.

"We seek to continuously learn from both good and bad experiences of these sorts.

"But I need to see exactly what it is that ACAT's referring to."