The Rs were knocked out of the FA Cup after suffering a 4-2 defeat to League One side MK Dons on Saturday and remain five points from safety at the bottom of the Premier League.
However, the 48-year-old claimed he remains "optimistic" about saving the season as he thanked fans for their support on social networking website Twitter.
|2/1||QPR are 2/1 to finish bottom of the Premier League with William Hill|
"Many fans attacking me. Doing our best. As I said we won't stop trying. As I have said many times I take all responsibility and will face the music.
"Always spirit up. If can't fix it I will be first to go."