Moreover, it will be very difficult to judge on one match, and the result is expected as a rule immediately, fans are not patient
True. Fans are the worst judges there are. That being said, judging a national team coach is quite difficult because the number of games is limited, unlike a club where they can see the progress every week or every transfer window. A national team needs to produce results befitting their image in most competitions. Then again, that's the job of a functioning sports association. The bad news is we don't even know if the guys running the association are competent or not, most of the time (at least in my country).