Garde wants the 28-year-old Frenchman to strengthen a Villa side four points adrift at the bottom of the Premier League – and 11 from safety.
“Loic is special. He knows the country and league, and would be an interesting player for the team,” Garde said.
But Chelsea caretaker boss Guus Hiddink is unimpressed with Garde making his interest in the player public.
Remy, who joined Chelsea in a £10.5m move from QPR last year, has started only one Premier League game this season after suffering several injuries, scoring twice in the League Cup and once in the league.
“You have to respect where the players are,” Hiddink said. “If you are interested, talk first to the people with whom they are contracted. You cannot go into details.
“The player has signed a contract here and must be fit for us. He’s having a difficult time regarding his injuries. He has to prove first of all that he’s a good Chelsea player. He has had a calf problem for several days.”