The R's are bottom of the Premier League table and are without a victory so far this season.
Following his side's 3-1 defeat at home to fellow strugglers Southampton at the weekend, Fernandes posted a downbeat message on the social networking site Twitter.
"I feel gutted. I have put my heart and soul into this with my other shareholders. And done all we can to give support to players and management. I can only apologise to the QPR fans. They deserve better," he wrote.
Next up for Rangers is a trip to Manchester United on Saturday.