Zelenskyy's statement on Monday came as the summit began in Evian-les-Bains, France.
Zelenskyy stated that Moscow was "not ready" for such a meeting.
"We left - before the G7 meeting began - a message that we were ready to meet with Putin during the meeting," Zelenskyy said in connection with his visit to the attacked UNESCO World Heritage monastery in Kyiv.
The move came as US President Donald Trump arrived at the summit.
Later on Monday, Zelenskyy said he had proposed meeting Putin in the United States during a conversation with US President Donald Trump on Sunday.
