Gianfranco Zola pits his Hammers side against their fellow strugglers on the back of their 1-0 loss to Birmingham.
Keeper Green said: "I'm glad we have got a game at Bolton so soon. Wolves won at Spurs, Bolton got a draw with Man City. We need to get some points.
"We have to go to Bolton, grit our teeth, and get a positive result. These are important times for us. We have to start picking up points and go on a good run.
"We've had a couple of defeats in a row and we are now looking to bounce back. Against Birmingham we showed spirit after going down to 10 men and going a goal down.
"But I thought we missed a clinical finish. It was one of those games - end-to-end but the quality was not quite there.
"It sounds stupid but it was either going to be decided by an odd goal or it was going to be a draw. When you are down there, you get kicked."