It depends on the context. Both of these examples are correct: Ask permission of her. You need to ask for permission. The former is slightly formal, while the latter is more casual.
Yes, you could ask Sega for permission for making a video game.
You have to ask the owner for permission/consent.
Chimps are called chimps, and they are always an animal.
He asks permission to speak in the funeral of Julius Caesar.
Permission?!?!?! Hitler was a brutal dictator. Dictators do not ask permission of anyone.
He/she should ask if she has permission to start working on the computer or whatever device they are having trouble with.
Only with her permission. Defiantly do not just grab them. Ask. Ask. Ask.
Granted her permission and was paid.
"Bravo six, this is sector 9.Requesting permission for landing."
Actually, when people use it to ask permission, they are wrong. Can means able. May asks permission.
Noddy - 1998 Ask Permission 2-3 is rated/received certificates of: Australia:G