They are angry because they think the filmmakers deliberately modelled Dobby on the face of Russia's boss, Vladimir Putin.
A Russian newspaper has even reported lawyers are preparing a legal case against the special effects people who created Dobby.
But so far there's not been an official comment on the matter from the president.
And it's not just in Russia that Potter lookalikes are causing a stir.
Jan Peter Balkenende, who's the leader of the Christian Democrat party, has had to get used to being compared to the boy wizard.
He's even posed with a photo of Daniel Radcliffe to show he doesn't mind the jokes.