French luxury giants have joined other firms in suspending sales in Russia.
The firms said on Friday that they will temporarily shut down their shops in Russia.
It follows calls from Ukrainian high-end stores to stand up.
Western governments have largely left out luxury retailers.
Measures introduced by the UK, European Union and US have made it more difficult to do business in the region.
Richemont and the maker of pricey Birkin bags were the first firms to announce that they would stop doing business in Russia.
From Sunday, Christian Dior, Givenchy and other brands will be closed in the country.
The well-known boucle jackets company, known for its work, decided to temporarily suspend its business in Russia due to the growing uncertainty and complexity.
Kering has two shops in Russia and 180 employees in the country.
The French firm said its decision was due to growing concerns about the current situation in Europe.
It comes after an executive at a luxury Ukrainian department store told the BBC that high-end firms must choose humanity over monetary gain.
Some firms have pledged aid, but have not commented on whether they will stop selling their products in Russia.
She said that brands publishing social media posts in support of Ukraine won't help stop the war.
Prada didn't respond to questions about whether it would stop selling in Russia.
The war in Ukraine was of great concern in an earlier post.
Many firms have already announced plans to leave Russia.
Giorgio Armani has not said if it plans to stop sales in Russia, but Mr Armani said he told his team to not play any music at its recent Paris fashion show.
As Russian troops advance on the capital, the Tsum Kyiv department store is closing.
Ms Koval wanted to see the fashion and luxury industry act immediately by imposing sanctions on Russian brands.
While affluent Russians are keen consumers of luxury goods, analysts say the proportion of luxury sales generated in Russia is small compared to the industry's key markets - China and the United States.
Luca Solca said that luxury fashion in Russia makes up 2% of global revenues.
He said that brands were trying to make the most of Russian spending before sanctions affect the sector.
One of the ways they try to cushion the effects of the rouble devaluation is to buy expensive jewellery products.
He said it was not a bad overall assumption.
Prof. Etel Solingen from the University of California's School of Social Sciences said that targeted sanctions on luxury goods might target those closely linked to the upper levels of power in Russia.
Who can afford to buy luxury items in Russia? She said that it may be a small fraction of Russia's growing penalties for what it has unleashed on the Ukraine, but they target a constituency that is better positioned to express discontent.
She described brands making supportive comments on social media.
The business of selling luxury goods is mostly done by luxury brands, according to Prof. Thomai Serdari from the NYU's Stern School of Business.
She suggested that it was a good idea to not make an explicit statement that would offend anyone and that could cause a worse reaction.
She said that Russia's isolation would hurt high-end brands who have a presence in the country or continue to sell their goods online.
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