Standard Kodak C-41 fixer can definitely be used with B&W films and papers. Since this is presumably compatible stuff, I wouldn't expect any problems, providing it's in date and you use a reasonable dilution. (Use whatever it recommends for C-41 film for film, or maybe more dilute for paper.) Do a snip test to determine proper fixing time.
The opposite may not be true, BTW. IIRC, the color dyes in C-41 or other color films can be harmed by many B&W fixers.
If you've got other photochemistry for C-41, it's probably best used on C-41 films. I've never tried it, but I've heard that C-41 developer can be used on B&W films, should you have enough that you just want to try experimenting. C-41 bleach is worse than useless for conventional B&W films, at least for normal processing. I don't know if it might be usable in some other type of process, like reversal processing.