Hello KittyGato, and welcome to the forums.
I love a good proverb. My try at a literal translation in standard Arabic is:
الهر الذي يرتدي قفازا لا يصتاد الفئران
al-hirru alladhi yartadi quffaazan laa yaStaadu 'l-fi2raana
My try in Egyptian colloquial:
القط اللي يلبس جوانتي ما بيصتادش فيران
il-2uTT illi yilbis guwanti ma-byiStad-sh firaan
But for a definitive answer you can wait for a native speaker to reply.