In an immobilized state, there is no direct method to assay laccase activity. However, the difference in the catalytic activity of the total enzyme fed to the matrix and remaining un-immobilized can give you an idea of activity. You may go through the research article of Mani et al., 2020 entitled -
"Laccase Immobilization Strategies for Application as a Cathode Catalyst in Microbial Fuel Cells for Azo Dye Decolourization" Frontiers in Microbiology. 2020; 11: 620075. The article is available free for download.