Flying with a broken leg....now that's just dorky but according to this you can do it.
I dunno how dorky it is. Depending on the special effect of your flying, you should be able to fly with a broken leg.
Big wings - Sure, why not. The landing is going to suck though.
Telekinetic flight - absolutely
Rod of power (Starman type thing) - Seems plausible
Thor-throwing-an-item-and-holding-on-for-dear-life - As long as the arms aren't broken…
Now, there are plenty of flight special effects that wouldn't allow you to fly with a broken leg, but there are just as many or more that seem that they would.