iPhone iOS 7 Control Center Problem

The only suggestion I have (which I kno you said you'd rather not have to) is to Reset All Settings.. :/

 

Reset all settings does not erase anything on the device. It does however put the original wallpaper back on and takes off wifi passwords and certain settings like alarms and custom sounds you have put (not deleting them but putting the defaults back on) It's safe. That'll do it.

 

Wait a day or so when iOS 7.0.3 comes out (been a rumor for this week) it might fix this without restoring.

 

Hmm, only other thing I can think of, make an iCloud backup of your phone, or iTunes backup. Preferably iCloud, but what you would do after backup, erase all contents and settings, setup the phone as new, if you can enable the setting, then restore from the backup. If after restore it's greyed out again, then there is something in your software causing the issue and you'll have to start fresh to get the option back.

And yea, it's also possible an update could fix it.

 

Have you tried closing the settings app? Go to the multitasker and swipe up the Settings app, open it again.

 

try holding the power button and the home button at the same time until your phone turns off

 

Try this

On iOS devices you can have profiles installed under Settings, General, Profiles. It will tell you if you have that disabled. This fixed my issue by removing the profile.

 

Do you have a work email address set up? Could be part of an Exchange policy.