Fifteenth-placed Villa are now just three points off the drop zone with three games remaining.
"Right now everyone connected with Villa is hurting badly," read the statement on the club's official website.
"We very openly acknowledge the frustrations of Villa fans and share in them completely.
"We will continue to support and rely on our manager and the squad and therefore give them our full support."
Villa continue their fight for survival on Saturday when they travel to local rivals West Bromwich Albion.