When a neutrophil discharges its enzymes into the tissue fluid?

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.