The football boss’s plans for a five-storey block of shops and offices on Semple Street and Fountainbridge have been waved through by the council.
The complex will replace a 1950s building that includes a branch of Farmfoods, the chain that topped The Grocer Top 50 ranking of independent retailers, published in February.
Andrew Glasgow, a director of the Premier Property Group, owned by Murray, said it would have to buy the Farmfoods outlet on the ground floor of the building for plans to progress.
It would also need to agree terms with Woolworths, another tenant on the site. He said both retailers could continue trading while the development was being completed, but they would have to occupy a smaller space.
Farmfoods has declined to comment, but is understood it could block Premier Property Group’s plans if it wished as it has five years left on its lease.