The easiest way to start your trial is to prepare a chitosan solution and mix it with ZnO nanoparticle aqueous suspension with various ZnO vs. chitosan ratios. To facilitate the coating of chitosan to ZnO nanoparticles, you could try bath or probe sonication of the freshly prepared mixture.
The problem is chistosan is said to be soluble in acidic environment. So in general it is dissolved in 5% acetic acid solution but at the same time, I am doubtful that when mixed ZnO can be decomposed into Zn2+ ions in acetic acid(5%).
Chitosan powder is dissolved in 0.5 % acetic acid to prepare chitosan solution. Solution is kept over night with stirring until all chitosan powder is dissolved.Then, ethanolic ZnO uspension is added with stirring to the chitosan solution to obtain chitosan-ZnO nanocomposite