The Kremlin did not respond to a request for comment.
Tinkoff, the bank Mr. Tinkov started in 2006, denied his characterization of events and said there had been “no threats of any kind against the bank’s leadership.” The bank, which announced last Thursday that Mr. Tinkov had sold his entire stake in the company to a firm run by Vladimir Potanin, a mining magnate close to Mr. Putin, appeared to be distancing itself from its founder.
“Oleg has not been in Moscow for many years, did not participate in the life of the company and was not involved in any matters,” Tinkoff said in a statement.
Mr. Tinkov has also run into trouble in the West. He agreed to pay $507 million last year to settle a tax fraud case in the United States. In March, Britain included him on a list of sanctions against the Russian business elite.
“These oligarchs, businesses and hired thugs are complicit in the murder of innocent civilians and it is right that they pay the price,” Foreign Secretary Liz Truss said at the time.
Mr. Tinkov is nevertheless widely seen as a rare Russian business pioneer, modeling his maverick capitalism on Richard Branson and morphing from irreverent beer brewer to founder of one of the world’s most sophisticated online banks. He says he has never set foot in the Kremlin, and he has occasionally criticized Mr. Putin.
But unlike Russian tycoons who years ago broke with Mr. Putin and now live in exile, such as the former oil magnate Mikhail B. Khodorkovsky or the tech entrepreneur Pavel Durov, Mr. Tinkov found a way to coexist with the Kremlin and make billions — at least until April 19.
That is when Mr. Tinkov published an emotional antiwar post on Instagram, calling the invasion “crazy” and deriding Russia’s military: “Why would we have a good army,’’ he asked, if everything else in the country is dysfunctional “and mired in nepotism, servility and subservience?”