How to restore iphone without losing app data?

I have an iPhone 4S with iOS 6 and recently synced music onto it, but accidentally unplugged the cord without it finishing. The result is completely messed up album art--not on the computer, just the iPhone. I would restore the whole phone (it's bugging me that much) but I don't want to lose progress in some of my games. Can I restore without this happening?

IMPOSSIBRU

It's impossible.restore is to set your phone to a new one without anything. You have to install all your apps.

If your music is synced into Itunes and your IPhone is synced to that same computer where your Itunes is (those that has the same songs you want to keep) then you can still keep them and restore those songs onto your IPhone. But if not then IMPOSSIBRU. You might want to check the site below for more info.

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