The 24-year-old made the move to east London permanent for a club record fee that could rise to £17.5million after spending last season with the Hammers on loan from Liverpool.
However, Carroll has yet to line up for Sam Allardyce's side since then, with a foot complaint the latest in a long line of injuries which could rule him out until the new year.
Maiga has started all four Barclays Premier League matches this season but has failed to score in any, while Sunday's 0-0 draw at Southampton makes it three games without a goal for West Ham.
The side have managed just six shots on target so far this season, but captain Nolan remains confident.
"None of us have criticised (Maiga), that's the main thing," he said.
"I don't think anyone has really criticised him, I think it's just the fact when you miss someone like Andy, you're going to talk about Andy, instead of the centre-forward who's actually playing.
"Modibo Maiga's got other strengths, he's very good in the air for such a short lad. He's good on the floor. Very technically gifted, when he's in front of goal he's very calm.