The council’s Planning Committee resolved to refuse the original application in July 2019.
However, after an intervention from London Mayor Sadiq Khan, permission for the Homebase site redevelopment granted in October 2020.
The scheme was then referred to housing secretary Robert Jenrick.
Sarah Olney, MP for Richmond Park, wrote to Mr Jenrick in September 2020 requesting he call in the application.
She argued the proposal was of regional significance and the scheme would have a detrimental impact on the surrounding area.
The Secretary of State issued a holding direction to allow him time to consider the request.
However, Mr Jenrick confirmed in January 2021 the application will not be called in.