The 24-year-old striker was arrested over an excessive noise complaint after allegedly receiving five verbal warnings from police over a five-day period.
The Belgium international did not appear in court in Los Angeles on Monday but his lawyer, Robert Humphreys, entered a plea of not guilty on his behalf.
United completed his signing eight days after his arrest by Beverley Hills Police Department officers at around 8pm on July 2 in his temporary residence in the city.
Days after the incident, he shared on Instagram a picture of himself in an apartment in the city with Old Trafford star Paul Pogba.
Commissioner Jane Godfrey, overseeing the case, ordered Lukaku to appear at Los Angeles Airport Courthouse on November 21.
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After the hearing, city attorney James Eckart said the striker faces both a fine and paying a sum to cover the cost of the police call-outs that occurred over five days.
Lukaku can opt not to appear in person at the hearing and can instead have a lawyer handle the misdemeanour citation on his behalf.
Lukaku is currently in Belgium preparing for his country’s World Cup qualifiers against Bosnia & Herzegovina and Cyprus.
However, he is thought to have suffered an ankle injury on his first day of international duty.