The 26-year-old centre-half has made just one appearance for the Latics this season - in the Carling Cup last month - and is wanted by Grant to fill the void created by an injury to captain Jason Shackell.
"We are always interested in good players and Fitz Hall is a good player. He is one we've looked at," the Canaries boss admitted.
"But a lot of clubs are interested in players and 90 per cent of the time you find yourself having to pay a transfer fee as a loan fee.
"And a loan player from the Premier League would cost Premier League wages, but the search continues no matter what."