James Davey was among six men appearing on charges connected with disorder following a Somme commemoration parade on Monday night.
The 21-year-old, of Clandeboye Gardens in the city, faces charges assault occasioning actual bodily harm, provoking a breach of the peace, and resisting arrest.
Four officers suffered minor injuries as disturbances broke out in the Catlereagh Street, Albertbridge Road and Mountpottinger Road areas.
Missiles were thrown from crowds gathered after the parade had passed off largely peacefully.
Also in the dock at Belfast Magistrates' Court on Wednesday were John Allen, 20, from Spring Place, Belfast; David Clarke, 28, of Campsie Park, Dundonald, and Craig-Lee Williamson, 20, from Victor Place, Belfast.
All three have been charged with riotous assembly.
Two other men, 19-year-old Sean Considine, of Chemical Street, Belfast, and Gareth David Wright, 31, of Broadlands Gardens, Carrickfergus, face charges of disorderly behaviour and assault on police.
Bail was opposed for all six due to fears of possible involvement in any further trouble during the marching season.
A judge was told Davey went to the scene wearing his chef's uniform and a Cliftonville FC scarf after finishing work at a city centre restaurant.
He had been drinking heavily and claims to have been provoked and abused by parade supporters, his lawyer said.
The court heard he came from a nationalist community, but that his late grandfather was a prominent Orangeman.
His lawyer added: "This man will lose his job if he does not get bail."
District Judge Mark Hamill said that was unfortunate but stressed that a message was being sent out from the courts.
He said: "Here we are in the teeth of the marching season and we have a man charged with spitting at band parade supporters.
"Not only that, but he allegedly takes a bite out of a police officer."
Refusing bail, he added: "There's going to be a broad brush approach taken to people charged with this type of behaviour."
Davey was remanded in custody to appear again in two weeks time.
Allen, Clarke and Williamson were similarly remanded in custody after being refused bail.
However, Judge Hamill ruled that Considine and Wright could be released because they had addresses available outside Belfast and were not charged with rioting.
Both men were banned from entering the city during the marching season, ordered to keep away from parades, curfewed and prohibited from drinking.
Judge Hamill also issued a general warning of the consequences for anyone convicted of rioting offences.
He said: "The maximum penalty for riotous behaviour has gone up from six months to 12 months (in prison).
"These courts will not be shy to issue that sentence."