On Wednesday, the Foreign Office updated its travel advice for Russia, warning UK nationals of "the possibility of anti-British sentiment or harassment".
The advice was reposted on Arsenal's website after the Europa League draw was made on Friday, but Sorokin, chief of Russia's World Cup organising committee, has played down safety concerns.
"We will ensure security in equal measures to all, from dignitaries to fans," Sorokin told TASS, the government-owned Russian news agency. "It is a shame that the games will be played in such circumstances.
"There are absolutely no grounds for such warnings. To us, there is no difference which country people come from or what our diplomatic relations with them are."
Arsenal will host the first leg at the Emirates Stadium on April 5, with the return game to be played in Moscow on April 12.