But Zhirinovsky's provocative statements are aimed mostly at his core support base of nationalist voters and do not represent official policy.
Other pro-Kremlin lawmakers quickly indicated the government has no intention of cracking down on McDonald's. Sergei Zheleznyak, a deputy speaker of the lower house and a leading member of the main Kremlin's party, the United Russia, was quoted by the Moskovsky Komsomolets newspaper as saying that there is no plan to shut down McDonald's.
The company, based in Oak Brook, Illinois, has more than 400 restaurants in Russia.
The ITAR-Tass news agency quoted Igor Rudenskiy, the head of the economic affairs committee in the lower house, as saying that that closing McDonalds makes no sense. "It's a road to nowhere," he said.
The restaurants in Crimea were owned by company, not by franchisees, the company said.
"We hope to reopen our restaurants soon so we can welcome back our loyal customers," McDonald's said in its statement.