The 24-year-old is currently on loan at Upton Park from Liverpool but the beginning of his West Ham career has been blighted by hamstring and knee injuries.
In between setbacks the England striker had netted just once for the Hammers, that goal coming in a 3-1 defeat at Tottenham in November.
Carroll is now fit but he admits it was difficult to settle into Sam Allardyce's side due to his injuries.
"Coming into a new team and getting injured in my first game to put me out for six weeks was frustrating," he told West Ham's official website.
"Then I was back for a couple of games and was out for eight weeks. It's hard when you're injured anyway, but when it's at a new club it's even harder.
"I've kept my head up as much as possible and worked hard with the physios and fitness coaches to get back and I showed on Saturday that I am fit."