You can send information to a RESTful service as either headers, path param, query param or message body.
If all the values go through as expected there is no problem with jax-rs/jersey. Now you need to debug the code and fix your implementation. jax-rs will only match a DELETE call with the DELETE http method you have implemented.
It is then your responsibility to actually perform a DELETE operation of the resource within the method. jax-rs or jersey is not going to complain if you do not DELETE or if you do some other action within the method.