Can I feed my Oscar a mouse?

I have 2 Oscar cichlids. One is 10 inches and the other is 12 inches. I was wondering if I could feed one of them a leftover adult white mouse I have in my freezer? My snake is now too big to be eating mice, so is it safe to feed to my Oscars once it is thawed out? I think the mouse is just small enough for them. What do you think?