There are a lot of rackets like that where the dampener does not come out. Some times these get in the way of your mounting system. If they do just slide them up the string when stringing the center mains. Here is an example.
Irvin
Thanks for the picture. The only shock absorbers I have seen that truely couldn't be removed have been on fairly cheap big box store racquets (I guess so they don't come off at the store). I hadn't run across one like this and seems like just sliding it up fixes the problem as you said. Interesting to see. I guess it solves the problem of the dampener flying off during a match.
I thought perhaps he was talking about the Prince inserts that really could be removed.
The one in the picture is a Head YOUTEK Six Star racket and sells for $230 at Tennis Warehouse. There are many Head, Prince, and Wilson rackets with this type of dampeners.
http://www.tennis-warehouse.com/Head_YOUTEK_Six_Star/descpageRCHEAD-HYT6.html
Irvin