Although enzyme immobilization has improved many areas, biocatalysis involving large-size substrates is still challenging for immobilization platform design because of the protein damage under the often "harsh" reaction conditions required for these reactions. Our recent efforts indicate the potential of using Metal-Organic Frameworks (MOFs) to partially confine enzymes on the surface of MOF-based composites while offering sufficient substrate contact. Still, improvements are required to expand the feasible pH range and the efficiency of contacting substrates. In this contribution, we discovered that Zeolitic Imidazolate Framework (ZIF) and a new calcium-carboxylate based MOF (CaBDC) can both be coprecipitated with a model large-substrate enzyme, lysozyme (lys), to anchor the enzyme on the surface of graphite oxide (GO). We observed lys activity against its native substrate, bacterial cell walls, indicating lys was confined on composite surface. Remarkably, lys@GO/CaBDC displayed a stronger catalytic efficiency at pH 6.2 as compared to pH 7.4, indicating CaBDC is a good candidate for biocatalysis under acidic conditions as compared to ZIFs which disassemble under pH < 7. Furthermore, to understand the regions of lys being exposed to the reaction medium, we carried out a site-directed spin labeling (SDSL) electron paramagnetic resonance (EPR) spectroscopy study. Our data showed a preferential orientation of lys in GO/ZIF composite, whereas a random orientation in GO/CaBDC. This is the first report on immobilizing solution-state large-substrate enzymes on GO surface using two different MOFs via one-pot synthesis. These platforms can be generalized to other large-substrate enzymes to carry out catalysis under the optimal buffer/pH conditions. The orientation of enzyme at the molecular level on composite surfaces is critical for guiding the rational design of new composites.