Morrison sealed West Ham's shock 3-0 win at Tottenham with a brilliant individual effort.
"He deserves all the credit he is getting at the minute," Noble told Sky Sports.
"There has been a lot of hype about him in the last few years and is he going to fulfil that potential? At the minute he is because he is working hard and his discipline is right.
"There are a lot of senior players at this club and I know I am on him to do things right, and the skipper [Kevin Nolan] is and the gaffer has sort of taken him under his wing, and he is becoming a man now and deserves his place in the team."
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