Are you sure he's on vacation, or is it his opponent who is on vacation?
vacation
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Jul 16, 2010
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#3
from the green bar above: Play/Online Chess
from the window on the right: settings.
Uncheck "PAUSE MY GAMES!!!!!!!!!!!!" 
Uncheck "Pause My Games" and check "Save Preferences"
Thank you!
I needed help turning off vacation for my husband, somehow I deleted my comment. Anyway, the directions for turning off and on vacation are in the answers.