Avis Europe is an independent company (no relation to Avis USA), with Avis Germany being a subsidiary (no franchise).
http://www.avis-europe.com/content-48
Avis and Budget are recognised all over the world as strong and truly global brands. The quality and service behind them are delivered through a network of wholly owned subsidiaries and licensee partners. Avis Europe operates the Avis and Budget brands and systems throughout Europe, Africa, Middle East and, through Avis only, in Asia.
Avis Budget Group, Inc., quoted in the US, operates extensively throughout the rest of the world. Although they are independentlly owned, the two companies work in partnership to provide a global service for customers, wherever the customer is renting.