The midfielder is thought to have stormed out of the Ramon Sanchez Pizjuan after being subbed off at half-time in last month's Champions League draw with Liverpool.
Having been excluded for the games against Villarreal, Cartagena and Deportivo, he will now miss Wednesday's trip to Maribor and his rift with Eduardo Berizzo shows no sign of easing up.
To add further intrigue, the 28-year-old has been given leave to travel to London to visit his daughter and it is thought his agent could also be part of the trip, prompting rumours that transfer talks could take place.
Arsenal have been linked with meeting his 40m euros release clause, while Sam Allardyce's Everton could also be an option.
N'Zonzi worked under Big Sam while at Blackburn and, with more incomings expected at Goodison Park in January, the Toffees could look to sign the two-cap France international.