2D materials possess exceptional mechanical properties making them promising candidates for protecting nanostructures. However, the magnetic field screening properties of 2D materials are largely unexplored. Here Magnetic Force Microscopy is used to unveil the effects on the magnetic field of magnetic nanostructures when 2D materials are placed on top of them. It is demonstrated that while graphene exhibits a weak diamagnetic response due to its unique electronic structure around the Dirac point, the overall screening effect remains minimal (~0.5% per layer). Conversely, graphene oxide and MoS2 show negligible response to the magnetic field, making them ideal for applications where preserving the original magnetic properties is crucial. These findings suggest that 2D materials can offer effective protection while minimally affecting the underlying magnetic functionalities, important for data storage technologies and spintronics. [Full article]