Forest have recently been linked with the 19-year-old, who spent part of last season on loan with Notts County.
While admitting that he is a fan of Grealish, Wigley insists that other players are on the club's radar.
"I know [Villa assistant] Roy Keane well, so I am not going to comment on their players at Aston Villa, but I think it is safe to say we will be looking at players of that standard," he told the Nottingham Post.
"We are looking for somebody who can come into the side and make an impact. I am not saying it is Jack Grealish, but we are looking for players. He is a good player, but he is Aston Villa's player."
Grealish recently signed a four-year contract extension at Villa Park.