The Scottish winger was seen having a heated exchange with some Canaries fans at half-time of Tuesday night's 0-0 draw with Newcastle United before later appearing to apologise.
In the aftermath of the match, Martin says he can see why Norwich fans act the way they do during a stalemate such as the Magpies draw but suggests that Snodgrass should not be solely targeted.
"It was the whole stadium. I felt it, the fans were getting tense," Martin said on Canaries Player.
"Sometimes it is hard for players, especially for Snods, who is on free-kicks and corners, for him to be bang on the money all of the time is tough.
"I feel for him because if it is not on the money, then people do criticise him.
"Snods is a winner, he really cares and is a great lad. Sometimes that frustration does boil over, he gets angry.
"Sometimes it can overstep the mark of what people want to see, but it is an intense game and there is a lot of pressure on things, passions are high and people find it difficult to control themselves.
"He means nothing by it, he has apologised at the end and I felt for him when there were a few sarcastic cheers as he put a cross over for a corner and that is not doing anyone any good.
"But the fans were chanting his name at the end, they were great, he apologised and we move on.
"As a football club we are well known for sticking together, the managers, fans and players, so nothing is going to change there."
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