The bar's owner, Andre Matsovi, said the notice saying only Estonian- and English-speaking clients would be served in the pub appeared on the entrance after a group of Russian-speaking young people swore at a waitress, who did not understand Russian, and set fire to the men's restroom last Saturday.
The incident is being investigated by police.
Ethnic Russians account for about 30% of Estonia's 1.34 million population. Because of the Estonian-language element of the citizenship test, many have "non-citizen" status, which denies them a national passport and prevents them from voting.
International human rights organizations and the UN have repeatedly called on Estonia to make Russian its second official language, but successive governments have not changed the policy.