Carroll has endured an injury-ravaged time at Upton Park since becoming West Ham's £15.5 million club-record signing in 2013 - the latest being an ankle problem.
The 25-year-old England international striker underwent surgery in the United States in July, sidelining him for the start of the 2014-15 Premier League season.
Carroll, however, is on the road to recovery, back "running for the last 10 days" with a December return on the cards.
"I don't feel I've let them down because, obviously, it's an injury that I couldn't have helped," said Carroll.
"I've done it in training and in a game. It's an injury I don't want and obviously no one at the club wants.
"I do want to be back out there, repaying the faith they put in me. I don't really care what people say. I know I've had problems. I'm not hiding away from that.
"Hopefully, this is the last one, and I get it out of the way. I just want to get back playing football."
