The appeal was filed with the 11th US Circuit Court on February 4 by attorneys Charles Ogletree, Jack Cushman and Max Stern.
In a 55-page document, the lawyers requested permission to make oral arguments to the court to explain why Buju Banton, whose real name is Mark Myrie, deserves a new trial.
The new legal team replaces attorneys Chokwe Lumumba and Imhotep Alkebu-Lan, who have withdrawn from the case.
Lumumba is now the mayor of Jackson, Mississippi.
Buju Banton was arrested in December 2009, during a US Drug Enforcement Agency sting operation, after police claimed he tried to buy cocaine from an undercover officer.
His trial ended with a mistrial, but in June 2011, the entertainer was convicted and sentenced to 10 years in prison for conspiracy to possess with the intent to distribute cocaine and using a telephone to facilitate a drug-trafficking offence.
In his first appeal, the 11th Circuit of the US Appeal Court refused to throw out the conviction and reinstated the firearm conviction.