The platforms and floor of the cage should be fine if the wire mesh is small enough to prevent the feet from falling through and getting caught. If there are enough wires to support the feet, there won't be any real pressure points on the foot to cause issues. If the wire openings on the floors and shelves are 1/2" x 1/2" or about 1 cm x 1 cm, you will be fine. Anything larger than that may not be safe. A lot of cage makers use the 1"x1/2" for floors and it's a little too large to be completely safe.
Wire mesh on the sides and top and bottom of the cage is just fine because it will provide excellent air flow and circulation in the cage.