Carroll signed permanently from Liverpool last week.
"I'm absolutely delighted," he told whufc.com. "We've all been waiting patiently since the end of the season but I think it was clear from the start that Andy wanted to sign for the club.
"That was a real positive, that gave the Club great grounds for optimism in terms of signing him - it was always going to drag on a bit, there was a huge transfer fee involved when he went to Liverpool, but as a West Ham fan I'm delighted that he's signed.
"We saw some real quality glimpses from Andy last season and we can now look forward to him starting the season as a permanent West Ham player. It's a big signing for the Club.
"It's a massive statement of intent from the Board and they need congratulating for bringing a player of Andy's standing to the Club."