Second-row Chalureau, 31, who was part of France's Rugby World Cup earlier this year, had appealed the racist element to an original six-month suspended sentence.
"I greatly regret what I did, I am not racist," Chalureau, who admitted he had consumed a lot of beer, whiskey and vodka the evening of the attack, told the court.
"I have never made an inappropriate comment towards anyone. I have worked on myself with a psychologist, I've changed my lifestyle."
"It's not forbidden to drink, it's just forbidden to hit people," the president of the court of appeal told Chalureau.
The court case had overshadowed the start to France's World Cup campaign, before they were knocked out by eventual winners South Africa in the quarter-finals last month.
Montpellier's Chalureau had accepted he attacked two other rugby players during a night out in January 2020 but denies using racist language during the incident.
It took place in Toulouse, when Chalureau played for the town's top-flight club.
The court of appeal's decision is expected on January 16.
In November 2020, a Toulouse court sentenced Chalureau to a suspended six-month prison sentence for "acts of violence... committed because of the race or ethnicity of the victim."
Chalureau was sacked by Toulouse, record 22-time French champions, after the decision before joining their Top 14 rivals Montpellier.
During the World Cup former France captain Thierry Dusautoir said he had a problem with Chalureau's presence in the national team.
Former Toulouse flanker Dusautoir is a close friend of one of the victims.
French president Emmanuel Macron had said it would be preferable that Chalureau no longer played for France if his appeal failed.
Some politicians had asked for Chalureau to be withdrawn from France's World Cup squad due to the incident.
