He added that last month's wheat delivery agreement could be a step in that direction.
"The good news is that the Kremlin wants an agreed solution. The first success is the wheat agreement, which could perhaps be slowly extended to a ceasefire," Schrder told Stern weekly and RTL/ntv, adding that he met Putin in Moscow last week.
German households are bracing for higher-than-usual bills this winter as energy companies pass on the price of gas, which has risen since Russia's invasion of Ukraine.
The bill for a typical household could double from October 1, Germany's RheinEnergie group warned in a statement on Monday - the first major supplier to provide a detailed estimate, AFP reported.