How in match directive cut quotes?
=' or =" don't work.

I think the following six symbols cannot be matched

It is not that they cannot be matched - however some of them have a special meaning for some of the line makers (they are explained in the section "Tokenization of source and line makers" of Understanding fasm article For example ' and " are interpreted by source reader when they occur in the beginning of symbol and they create a single quoted string symbol. Thus any quoted text is a single token and that's why you cannot split it into parts with "match" (as "match" cannot operate on entities smaller than one token).

As for the other characters revolution listed, only the "{" cannot be matched, because it is used to denote the beginning of macro block. The other ones are no problem, however:
(but if you want to do it inside some macro, you need to remember to escape the # and ` accordingly, otherwise they get interpreted by macro line maker)

Dimas: as for your problem, please specify what exactly do you need to do. If you need to extract some data from inside quoted string, perhaps you could do it at assembly time, not in preprocessor (as with fasm's preprocessor it's currently impossible)?

My macro:
macro include_ file {
define filename file
include file
}

In some include files present this line:
filename:
But filename replaced with 'file.inc' instead file.inc and in this case label wrong.