The Daily Star Sunday says Flamini got shirty when he was rebuked for cutting the sleeves off his top in the Premier League clash at Old Trafford last week.
Arsene Wenger's side have a strict policy of players wearing shirts with the same length of sleeve, a decision made by the captain on the day of the match.
But Flamini, 29, took the scissors to his yellow shirt and the Gunners staff didn't notice until the second half was under way.
Long-serving Ackers, 67, took Flamini to task over giving his sleeves the snip.
An Arsenal source said: "Vic and Mathieu had heated words at the end of the game.
"It is a tradition that all players wear the same shirt. Why he can't simply roll his sleeves up rather than cut them off is beyond most of us.
"But only Bacary Sagna gave Vic any support over the issue.
"It didn't help that the shirts were ones with a poppy on, that are sometimes auctioned off to raise money for charity."
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