The request was presented by his lawyers, Tommaso Pietrocarlo and Monica Grossi, to Florence's appeals court on Tuesday morning on the grounds that his conviction is incompatible with the ruling last year to acquit American Amanda Knox and her former Italian boyfriend, Raffaele Sollecito, in the case, La Repubblica reported.
The lawyers were not immediately available for comment when contacted by The Local.
Meredith Kercher was murdered in 2007.
Kercher, from south London, was found in a pool of blood in the house she shared with Knox in Perugia in November 2007, half-naked and with her throat slashed. She had been stabbed 47 times in what prosecutors initially claimed was a satanic rite.
Just under a year later, Ivory Coast-born Guede was jailed for her murder, with the judge in his fast-track trial concluding that he had not acted alone.
In December 2009, Knox and Italian Sollecito were sentenced to 26 and 25 years in prison for their part in the killing.
After four years in jail, the pair were acquitted on appeal in 2011 and Knox returned to the United States.
Photos: Filippo Monteforte/Tiziana Fabi/AFP
Knox and Sollecito were found guilty again in a shock about-turn in January 2014 after judges ruled Kercher died when a row with Knox spiralled out of control. They were given sentences of 28 and 25 years, respectively, before being acquitted in a final appeal in March 2015.
Guede, whose DNA was found at the murder scene and inside Kercher's body, was recently given 36 hours of temporary release from prison as a reward for good behaviour.