"Of course we hope so," von Fritsch told RIA Novosti.
Russia walked out of the G8 group of the world’s largest economies after a rift with Canada, France, Germany, Italy, Japan, Britain and the United States over its alleged role in the conflict in Ukraine.
"Germany has from the very beginning of the [Ukraine] conflict tirelessly tried to reach solutions through dialogue," the German diplomat asserted.
"I think here we have achieved certain results and the final result should be a return to normal relations, as a result of which we would again find ourselves at the negotiating table as G8 partners," he added.
Russia formally joined the G8 club of industrial nations in 1998. In 2014, the original G7 members said they were not coming to Russia’s resort city of Sochi for a G8 summit, citing the Ukraine crisis. Instead, they met in Brussels without President Vladimir Putin.
Last month, Putin told Germany's Bild newspaper that Russia had never truly become a fully-fledged G8 member since foreign ministers of the other seven countries preferred to negotiate separately.