I need help with cloaking.

I was approved for keywords that are banned from AdWords, but within a few days my account was suspended. You can use fake pages to get approved for banned keywords, but your account is suspended for the moment you change the link. If I use cloaking to show an approved page and hide my real page, can I keep this account?

Yes you can keep the account for few days , depends how aggressive your keywords are , what is your niche / geo , there are many things to be considered when you are playing with TOS of adwords.

Well even with cloaker you will only get to keep your account for few days sometimes if your keywords arent that aggressive you can get to keep it for max 2 weeks.

Depends on how aggressive your targetting is. Can definitely work with a cloaker though, YMMV - few days up to few weeks max.