Both the macrophages and the neutrophils can discharge their lysosomal enzymes, via exocytosis, into the extracellular fluid or release their entire cell content when the cell ( macrophage or neutrophil) dies. Releasing of these enzymes assists in the digesting of the inflammatory exudate.
Neutrophils wander in the connective tissue killing bacteria, they produce a cloud of bactericidal chemicals which creates a killing zone. Lysosomes discharge contents into tissue fluids through a process called degranulation, the comes the respiratory burst which is when the neutrophils absorb all the oxygen which causes toxic chemicals to be created.