Fixing water damaged drywall
If not near to a stud or rafter, you could patch a larger hole (red) by gluing some cardboard (green) behind it to bring the replacement piece (blue) you cut flush for you. Some wire looped through the cardboard can provide a means to hold it in place for you while the glue dries. Cut the wire off and glue in your patch and finish up with the mud and sand ritual.