The developers who unlawfully demolished Carlton's Corkman Irish Pub are challenging an order to remove more asbestos from the site and prop up an unstable wall.

The company owned by Stefce Kutlesovski and Raman Shaqiri, 160 Leicester Pty Ltd, appeared on Thursday morning before the Building Appeals Board, to appeal against an order from Melbourne City Council.

The council's Municipal Building Surveyor ordered the company to prop up an internal brick wall, which remained standing after the pub was knocked down in October last year without planning or building permission.

Eleven months after the levelling of the 159-year-old pub – formerly known as the Carlton Inn – the site is a vacant lot covered in rubble and tarpaulins.