"A change to the chief executive could be involved", it added.
The German carmaker said on Tuesday it was considering a change in leadership as part of a broader management overhaul, but gave few details.
The statement said board of directors head Hans Dieter Poetsch was in discussions with top managers about how their responsibilities are divided.
Despite facing billions in fines, vehicle refits and lawsuits relating to its "dieselgate" scandal, Volkswagen's operating results have been robust under Mueller's watch, with sales and profit hitting record highs past year.
Volkswagen's board abruptly ended the tenure of CEO Matthias Mueller and picked Herbert Diess, chief of the VW brand, as his successor, people familiar with the matter said.
Prior to joining VW, Diess was an executive at BMW.
VW claims to be the world's largest carmaker. Mr. Diess has been running the Volkswagen brand since 2015. Porsche said in a separate release that any changes at VW would be reflected in its management.
Who Is Braun Strowman's Partner And New RAW Tag-Team Champion Nicholas?
Later in the evening, Sheamus and Cesaro approached Angle about getting their tag titles back. He said the Tag Team Eliminator would kick off tonight and continue next week.
Saudi Crown Prince Mohammed bin Salman arrives in Spain
Saudi Arabia was France's second-biggest client for both arms deliveries and new arms orders in 2016, according to official data. Macron hosted a gala send-off dinner for the crown prince at the Elysee Palace.
Fortnite gets a pop-up fort with the new Port-a
Typically, players must harvest resources to use as makeshift structures, but a new item, labeled "coming soon", looks to change all that.
Two months ago, sources close to Volkswagen management told Reuters that Mueller was growing frustrated with a lack of support for his reform efforts and by the company's inability to draw a line under its emissions scandal. Audi, the namesake VW brand, the trucks division and the group's Chinese operations have representatives on VW's top executive body.
Karlheinz Blessing, member of the Board of Management of Volkswagen AG with responsibility for "Human Resources and Organization" attends Volkswagen AG annual news conference in Wolfsburg, Germany, April 28, 2016.
The German business publication believes Mueller's ouster is being engineered by the company's major shareholders, including the Porsche and Piech families, the German state of Lower Saxony, and Qatar, who are all keen for a reboot after the Dieselgate affair.
While Mueller is a life-long VW veteran, at times he cut an uneasy figure in the top job, which required him to manage the often contradictory demands of angry vehicle owners, disgruntled investors, well organized workers, and state officials with their own political agendas.
The potential restructuring was first reported by German magazine Der Spiegel. About 482,000 were sold in the USA, and 11 million around the world.
Mueller's comments exhibited "a lack of sensitivity at a hard time for VW", Lower Saxony's economic minister Bernd Althusmann, who also sits on VW's supervisory board, told German daily Hannoversche Allgemeine Zeitung.