QPR were denied a precious win on Sunday when Shaun Maloney's last-gasp free-kick snatched a 1-1 draw for Wigan and the west Londoners are seven points from safety with just six games remaining.
But goalkeeper Green believes there is still a chance for the R's to save themselves with matches against drop rivals Stoke and Reading still to come.
"We don't have a nightmare run-in," Green told the Fulham Chronicle.
"We don't have to go to Old Trafford or the Etihad, we're playing against teams we're capable of getting results against.
"It's not all doom and gloom, but it's imperative we pull out some results now.
The boys won against Liverpool and Arsenal last season, so there's no reason we can't do it again.
"We know it's going to be tough, but we've got to keep on going."