Cooper has been on the books of Leeds since 2014, and the 28-year-old Scotland international has played both at Villa Park and at the City Ground during his time in the Championship so far.
Villa are not playing in the Championship this season, with Dean Smith’s side having clinched promotion to the Premier League for the 2019-20 campaign.
The Birmingham Mail quotes Cooper as saying: "Favourite (away ground) would probably be – I like the Forest ground.
"Atmosphere is always good (and) we always get a good allocation. But if, obviously, Villa are still in the league I'd say that. Villa Park is brilliant."
Marcelo Bielsa’s side are third in the league table at the moment with 31 points from 16 matches, two points behind leaders West Bromwich Albion.
As for Forest, the Reds currently find themselves fifth in the standings with 28 points from 15 games.
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