The cell medium was collected to measure extracellular HA; then cells were treated with trypsin to collect pericellular HA; finally they were lysed with 0.1 M Tris-HCl buffer (pH 7.4) containing 10 mM CaCl2 to measure intracellular or intra-tissular HA. The medium and extracts were incubated overnight with 500 mU/ml Pronase (Sigma-Aldrich, Bornem, Belgium) at 55°C. HA concentration was quantified using Hyaluronan DuoSet kit (R&D systems, Abingdon, UK). Total cell protein concentration was measured using Pierce Protein Assay (ThermoScientific, Illinois, USA).
Article Hyaluronan Metabolism in Human Keratinocytes and Atopic Derm...
Article A simple method for hyaluronic acid quantification in culture broth
I think it is important for you to identify whether you want to measure glycosaminoglycans (GAGs) in general or specifically hyaluronan/hyaluronic acid (HA).
Quantifying HA without ELISA is quite tricky and ELISA might be the simplest way of doing it. Other semi-quantitative ways include Particle Exclusion Assays, and staining with biotinylated HA-binding protein.
What Alexandr Chernov has talked about is a great way to isolate and measure HA. You might want to consider using Benzonases as well.