EDIT2: I answered it below. I had duplicate of my cancel.sty where my .tex file was. That made some troubles (obviously).
EDIT:
\documentclass[a4paper,11pt]{article}
\usepackage[croatian]{babel}
\usepackage{cancel}
\begin{document}
\mbox{}\cancel{a}
\end{document}
I went to MiKTeX Package Manager, found "cancel" package, right click -> Install. Refreshed FNDB. Opened TeXnicCenter, wrote that code and tried to render it. I got 16 errors. Why (for me "normal" LaTeX, packages like amsmath are working and I'm able it to render it just fine, but now I need some additional functionality like this strikethrough in cancel package)?
MiKTeX 2.9
TeXnicCenter 1.0 RC1
- rendered via Sumatra PDF

initexmf --update-fndbor click "Refresh FNDB" from the MiKTeX start menu. Does this solve your problem? – Werner Nov 18 '11 at 18:23$\cancel{a}$. Does this work? – Werner Nov 18 '11 at 18:25\cancel{a}, or if you put it in mathmode? Your example didn't work for me either, unless I did one of those things. – Torbjørn T. Nov 18 '11 at 18:26