A variety of drywall anchors are available these days ... In your case, I would recommend a winged anchor, such as the Pop-Toggle from Hillman, in part because its screw may be withdrawn ...
The Family Handyman on MSN5mon
How To Remove Drywall Anchors
It's time to move, the house has sold, or maybe you're in the middle of home renovation. Either way, it's time to remove some ...