The 26-year old made his first start of the season in Tuesday night’s 2-1 League Cup defeat to Leicester, and hopes to remain in the first XI going forward.
“We’re a great team at the minute and the lads are playing well. They’ve got some great results - apart from on Tuesday - and as an attacking force they’ve been fantastic. It’s good to be a part of it,” said Carroll.
“I’ve been looking forward since the start of the season to be back and now I am.
“That’s what I’ve wanted and what I’ve worked hard for. So now I’m trying to get in the starting eleven and stay there.”
The former Liverpool man was unable to prevent an early League Cup exit for the Hammers, as a youthful and energetic Leicester deservedly came out on top in extra time.
Adrian produced several point blank saves to keep West Ham in the game, but eventually succumbed to an Andy King header six minutes before the end of extra time.
Leicester academy product Joe Doodo had put the Foxes one up after six minutes, with a fine finish from 10 yards, before Mauro Zarate levelled things up with a 25-yard strike near the half-hour mark.
King’s late header finally got the better of Adrian in the closing stages of extra time to prevent a penalty shootout.