Hello Vjacheslav. As Dan, stated yes you can buy in the USA. It is easier if you are paying cash because financing is difficult for out of the country buyers. Will you be buying a home to live in or as investment? Do you know where you want to buy? Are you familiar with the home buying process here? These are just some of the many questions a professional will need to talk to you about. If I can be of any help to you I may be reached through my Trulia profile.
Thank you and good luck.