The QPR player was on loan to Newcastle United when his Porsche Cayenne was stopped by police in March.
A test showed he had 56mg of alcohol per 100ml of breath. The limit is 35mg.
Appearing at Newcastle Magistrates’ Court, he admitted being over the drink limit and was given a 14 month ban and fined £3,750.
He was caught driving towards his home in Ponteland, in the early hours of Sunday 9 March 2014.
Defending, Jonathan Dunkley said Remy had admitted he had made a “very costly, very public mistake” after socialising with friends.
Speaking on behalf of his client, Mr Dunkley said Remy had “carefully monitored” what he had to drink and “felt perfectly sober” to drive himself and his friends back to his home.
Remy told him that if he thought “for one millisecond” he was over the limit he “would have paid £20 and got a taxi”.
In most cases, drink driving carries a disqualification from driving of at least 12 months.
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