Yes, he can. Some guys from Arab countries did so. However, you need to sort out your visa status first. Belarus does not give permanent residence automatically for property owners.
Thanks Mike. So you have to havve belarus permanent residence to own a flat?
Well, not really. Those two things are just not directly connected. For example, in Latvia of you are buying a property worth more that 300K EUR you will be given EU Residence Permit automatically. In Australia as far as I know you can buy even 1 million USD house and still face issues when entering the country. The same is here.
Normally, the usual way is to set up a company, get a long term business visa and then apply for a residence permit. The Arabs do this way. In the same time you may start looking for an apartment. Owning an apartment helps a lot in obtaining a residence permit.