Arsenal have already taken what they say is "appropriate action" against Arber, but the coach is still likely to face an FA charge which could lead to a ban from the game.
"Following an investigation we have taken appropriate action in relation to a casual worker," read an Arsenal statement.
"We take this very seriously. All Arsenal employees and workers are well aware of their responsibilities in this respect."
The FA's rules make it clear that nobody is allowed to make any bets surrounding any club that they are involved in.
Recently Accrington Stanley managing director Robert Heys was banned for 21 months for betting on matches involving his team.
Former Dagenham and Dartford defender Arber's father Bobby has also worked for the Gunners as a scout.