The 56-year-old made the comments following Carroll’s performance against Swansea City away from home in the Premier League on Saturday.
The game at the Liberty Stadium ended in a 1-1 draw, but the England international’s brilliant strike has been much talked about.
Crooks is one who was taken aback by the quality of the 26-year-old's strike and included him in the Team Of the Week for BBC Sport.
“What a goal by Andy Carroll,” explained the former Stoke City star. “To be perfectly honest, I didn't think the centre-forward was capable of scoring a goal like this and by the expression of shock on Andrew Cole's face on Final Score, neither did the former Manchester United forward.
“What surprised us both was the way in which he moved his feet to create the opening and when he did crack the ball with his left foot the strike was simply brilliant. This lad is starting to look top class.”
While Carroll’s strike against Swansea was truly great, one needs to remember that a single goal does not make a player ‘top class'.
The former Newcastle United and Liverpool star has had mixed times since his return from a long-term injury and is not yet guaranteed a place in the West Ham starting line-up.
Carroll is a very good striker who is important for West Ham, but claiming that he is on course to becoming “top class” is a bit too much.